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Publications/Universal covering groups of unitary groups of von Neumann algebras/biblio.bib
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### Other
@book {IssaiSchur,
TITLE = {Studies in memory of {I}ssai {S}chur},
SERIES = {Progress in Mathematics},
VOLUME = {210},
EDITOR = {Joseph, Anthony and Melnikov, Anna and Rentschler, Rudolf},
NOTE = {Papers from the Paris Midterm Workshop of the European
Community Training and Mobility of Researchers (TMR) Network
held in Chevaleret, May 21--25, 2000 and the Schur Memoriam
Workshop held in Rehovot, December 27--31, 2000},
PUBLISHER = {Birkh\"{a}user Boston, Inc., Boston, MA},
YEAR = {2003},
PAGES = {clxxxvii+365},
ISBN = {0-8176-4208-0},
MRCLASS = {20-06 (00B30 20-03)},
MRNUMBER = {1985184},
DOI = {10.1007/978-1-4612-0045-1},
URL = {https://doi.org/10.1007/978-1-4612-0045-1},
}
#### AAAAAA
# Aguilar-Socolovsky
@article {AguilarSocolovsky00,
AUTHOR = {Aguilar, Marcelo A. and Socolovsky, Miguel},
TITLE = {Universal covering group of {${\rm U}(n)$} and projective
representations},
JOURNAL = {Internat. J. Theoret. Phys.},
FJOURNAL = {International Journal of Theoretical Physics},
VOLUME = {39},
YEAR = {2000},
NUMBER = {4},
PAGES = {997--1013},
ISSN = {0020-7748,1572-9575},
MRCLASS = {81R05 (22E70 81-01)},
MRNUMBER = {1779169},
MRREVIEWER = {S.\ Timothy\ Swift},
DOI = {10.1023/A:1003694206391},
URL = {https://doi.org/10.1023/A:1003694206391},
}
# Albert-Muckenhoupt
@article{AlbertMuckenhoupt57,
title={On matrices of trace zero},
author={Albert, Abraham A. and Muckenhoupt, Benjamin},
journal={Michigan Mathematical Journal},
volume={4},
number={1},
pages={1--3},
year={1957},
publisher={University of Michigan, Department of Mathematics}
}
# Akemann-Anderson-Pedersen
@article {AkemannAndersonPedersen86,
AUTHOR = {Akemann, Charles A. and Anderson, Joel and Pedersen, Gert K.},
TITLE = {Excising states of {C}*-algebras},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques},
VOLUME = {38},
YEAR = {1986},
NUMBER = {5},
PAGES = {1239--1260},
ISSN = {0008-414X},
MRCLASS = {46L05 (46L30)},
MRNUMBER = {869724},
MRREVIEWER = {J. W. Bunce},
DOI = {10.4153/CJM-1986-063-7},
URL = {https://doi.org/10.4153/CJM-1986-063-7},
}
# Al-Rawashdeh-Booth-Giordano
@article {AlBoothGiordano12,
AUTHOR = {Al-Rawashdeh, Ahmed and Booth, Andrew and Giordano, Thierry},
TITLE = {Unitary groups as a complete invariant},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {262},
YEAR = {2012},
NUMBER = {11},
PAGES = {4711--4730},
ISSN = {0022-1236},
MRCLASS = {46L35},
MRNUMBER = {2913684},
DOI = {10.1016/j.jfa.2012.03.016},
URL = {https://doi.org/10.1016/j.jfa.2012.03.016},
}
# Alekseev-Schmidt-Thom
@article{AlekseevSchmidtThom23,
title={Amenability for unitary groups of {C}*-algebras},
author={Alekseev, Vadim and Schmidt, Max and Thom, Andreas},
journal={arXiv:2305.13181},
year={2023}
}
# Amini-Golestani-Jamali-Phillips
@article{AGJP22,
title={Group actions on simple tracially $\mathcal{Z}$-absorbing {C}*-algebras},
author={Amini, Massoud and Golestani, Nasser and Jamali, Saeid and Phillips, N. Christopher},
journal={arXiv:2204.03615},
year={2022},
}
# Amrutam-Kalantar
@article {AmrutamKalantar20,
AUTHOR = {Amrutam, Tattwamasi and Kalantar, Mehrdad},
TITLE = {On simplicity of intermediate {C}*-algebras},
JOURNAL = {Ergodic Theory Dynam. Systems},
FJOURNAL = {Ergodic Theory and Dynamical Systems},
VOLUME = {40},
YEAR = {2020},
NUMBER = {12},
PAGES = {3181--3187},
ISSN = {0143-3857},
MRCLASS = {46L55 (37A55 46L10 46L35 46L89)},
MRNUMBER = {4170599},
MRREVIEWER = {Bruno Brogni Uggioni},
DOI = {10.1017/etds.2019.34},
URL = {https://doi.org/10.1017/etds.2019.34},
}
# Ando-Haagerup
@article {AndoHaagerup14,
AUTHOR = {Ando, Hiroshi and Haagerup, Uffe},
TITLE = {Ultraproducts of von {N}eumann algebras},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {266},
YEAR = {2014},
NUMBER = {12},
PAGES = {6842--6913},
ISSN = {0022-1236},
MRCLASS = {46M07 (46L10)},
MRNUMBER = {3198856},
MRREVIEWER = {E. St{\o}rmer},
DOI = {10.1016/j.jfa.2014.03.013},
URL = {https://doi.org/10.1016/j.jfa.2014.03.013},
}
# Antoine-Perera-Santiago
@article {AntoinePereraSantiago11,
AUTHOR = {Antoine, Ramon and Perera, Francesc and Santiago, Luis},
TITLE = {Pullbacks, {$C(X)$}-algebras, and their {C}untz semigroup},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {260},
YEAR = {2011},
NUMBER = {10},
PAGES = {2844--2880},
ISSN = {0022-1236,1096-0783},
MRCLASS = {46L35 (46L05 46L80 46M15)},
MRNUMBER = {2774057},
MRREVIEWER = {Valentin\ Deaconu},
DOI = {10.1016/j.jfa.2011.02.016},
URL = {https://doi.org/10.1016/j.jfa.2011.02.016},
}
# Ara-Mathieu
@book {AraMathieubook,
AUTHOR = {Ara, Pere and Mathieu, Martin},
TITLE = {Local multipliers of {C}*-algebras},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer-Verlag London, Ltd., London},
YEAR = {2003},
PAGES = {xii+319},
ISBN = {1-85233-237-9},
MRCLASS = {46L05 (16S90 46Kxx 46L40 47B47 47L25)},
MRNUMBER = {1940428},
MRREVIEWER = {Michael Frank},
DOI = {10.1007/978-1-4471-0045-4},
URL = {https://doi.org/10.1007/978-1-4471-0045-4},
}
# Araki-Smith-Smith
@article {ArakiSmithSmith71,
AUTHOR = {Araki, Huzihiro and Smith, Mi-Soo B. and Smith, Larry},
TITLE = {On the homotopical significance of the type of von {N}eumann
algebra factors},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {22},
YEAR = {1971},
PAGES = {71--88},
ISSN = {0010-3616,1432-0916},
MRCLASS = {46.65 (57.00)},
MRNUMBER = {288587},
MRREVIEWER = {W.\ Wils},
URL = {http://projecteuclid.org/euclid.cmp/1103857414},
}
# Argerami-Farenick
@article {ArgeramiFarenick08,
AUTHOR = {Argerami, Mart\'{\i}n and Farenick, Douglas R.},
TITLE = {Local multiplier algebras, injective envelopes, and type {I}
{W}*-algebras},
JOURNAL = {J. Operator Theory},
FJOURNAL = {Journal of Operator Theory},
VOLUME = {59},
YEAR = {2008},
NUMBER = {2},
PAGES = {237--245},
ISSN = {0379-4024,1841-7744},
MRCLASS = {46L05 (46L07)},
MRNUMBER = {2411044},
MRREVIEWER = {Pere\ Ara},
}
# Avitzer
@article {Avitzer82,
AUTHOR = {Avitzour, Daniel},
TITLE = {Free products of {C}*-algebras},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {271},
YEAR = {1982},
NUMBER = {2},
PAGES = {423--435},
ISSN = {0002-9947,1088-6850},
MRCLASS = {46L05},
MRNUMBER = {654842},
MRREVIEWER = {William\ Paschke},
DOI = {10.2307/1998890},
URL = {https://doi.org/10.2307/1998890},
}
#### BBBBBBBBBBBBBBBBBBBBBBBB
@book {BerberianBook,
AUTHOR = {Berberian, Sterling K.},
TITLE = {Baer *-rings},
SERIES = {Die Grundlehren der mathematischen Wissenschaften},
VOLUME = {Band 195},
PUBLISHER = {Springer-Verlag, New York-Berlin},
YEAR = {1972},
PAGES = {xiii+296},
MRCLASS = {16A28 (46L10)},
MRNUMBER = {429975},
MRREVIEWER = {S.\ S.\ Holland, Jr.},
}
#Bisch
@article {Bisch90,
AUTHOR = {Bisch, Dietmar H.},
TITLE = {On the existence of central sequences in subfactors},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {321},
YEAR = {1990},
NUMBER = {1},
PAGES = {117--128},
ISSN = {0002-9947},
MRCLASS = {46L35},
MRNUMBER = {1005075},
MRREVIEWER = {V. S. Sunder},
DOI = {10.2307/2001593},
URL = {https://doi.org/10.2307/2001593},
}
@article {Bisch94,
AUTHOR = {Bisch, Dietmar H.},
TITLE = {Central sequences in subfactors. {II}},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {121},
YEAR = {1994},
NUMBER = {3},
PAGES = {725--731},
ISSN = {0002-9939},
MRCLASS = {46L37},
MRNUMBER = {1209417},
MRREVIEWER = {V. S. Sunder},
DOI = {10.2307/2160268},
URL = {https://doi.org/10.2307/2160268},
}
# Berrick
@article {Berrick11,
AUTHOR = {Berrick, A. Jon},
TITLE = {The acyclic group dichotomy},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {326},
YEAR = {2011},
PAGES = {47--58},
ISSN = {0021-8693,1090-266X},
MRCLASS = {20F38 (19E20 20J05 57M07)},
MRNUMBER = {2746051},
MRREVIEWER = {Aditi\ Kar},
DOI = {10.1016/j.jalgebra.2010.05.009},
URL = {https://doi.org/10.1016/j.jalgebra.2010.05.009},
}
# Blackadar
@article {Blackadar90,
AUTHOR = {Blackadar, Bruce},
TITLE = {Symmetries of the {CAR} algebra},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {131},
YEAR = {1990},
NUMBER = {3},
PAGES = {589--623},
ISSN = {0003-486X},
MRCLASS = {46L80 (19K14)},
MRNUMBER = {1053492},
MRREVIEWER = {Bola O. Balogun},
DOI = {10.2307/1971472},
URL = {https://doi.org/10.2307/1971472},
}
@book {BlackadarBook,
AUTHOR = {Blackadar, Bruce},
TITLE = {Operator algebras},
SERIES = {Encyclopaedia of Mathematical Sciences},
VOLUME = {122},
NOTE = {Theory of {C}*-algebras and von {N}eumann algebras,
Operator Algebras and Non-commutative Geometry, {III}},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2006},
PAGES = {xx+517},
ISBN = {978-3-540-28486-4; 3-540-28486-9},
MRCLASS = {46L05 (46L10 46L80)},
MRNUMBER = {2188261},
MRREVIEWER = {Paul Jolissaint},
DOI = {10.1007/3-540-28517-2},
URL = {https://doi.org/10.1007/3-540-28517-2},
}
# Blacakdar-Kumjian-Rordam
@article {BKR92,
AUTHOR = {Blackadar, Bruce and Kumjian, Alexander and R{\o}rdam, Mikael},
TITLE = {Approximately central matrix units and the structure of
noncommutative tori},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {6},
YEAR = {1992},
NUMBER = {3},
PAGES = {267--284},
ISSN = {0920-3036},
MRCLASS = {46L87 (46L05)},
MRNUMBER = {1189278},
MRREVIEWER = {Chi Wai Leung},
DOI = {10.1007/BF00961466},
URL = {https://doi.org/10.1007/BF00961466},
}
# Booth
@mastersthesis{Booth98,
title={The unitary group as a complete invariant for simple unital {AF} algebras},
author={Booth, Andrew},
year={1998},
school={University of Ottawa (Canada)},
}
# Bosa-Gabe-Sims-White
@article {BGSW22,
AUTHOR = {Bosa, Joan and Gabe, James and Sims, Aidan and White, Stuart},
TITLE = {The nuclear dimension of $\mathcal{O}_\infty$-stable {C}*-algebras},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {401},
YEAR = {2022},
PAGES = {Paper No. 108250, 51},
ISSN = {0001-8708},
MRCLASS = {46L05 (46L35)},
MRNUMBER = {4392219},
DOI = {10.1016/j.aim.2022.108250},
URL = {https://doi.org/10.1016/j.aim.2022.108250},
}
# Brattelo-Stormer-Kishimoto-Rordam
@article {BSKR93,
AUTHOR = {Bratteli, Ola and St{\o}rmer, Erling and Kishimoto, Akitaka and
R{\o}rdam, Mikael},
TITLE = {The crossed product of a {UHF} algebra by a shift},
JOURNAL = {Ergodic Theory Dynam. Systems},
FJOURNAL = {Ergodic Theory and Dynamical Systems},
VOLUME = {13},
YEAR = {1993},
NUMBER = {4},
PAGES = {615--626},
ISSN = {0143-3857},
MRCLASS = {46L55 (46L35)},
MRNUMBER = {1257025},
MRREVIEWER = {Robert J. Archbold},
DOI = {10.1017/S0143385700007574},
URL = {https://doi.org/10.1017/S0143385700007574},
}
#Bresar
@article {Bresar93,
AUTHOR = {Bre\v{s}ar, Matej},
TITLE = {Commuting traces of biadditive mappings,
commutativity-preserving mappings and {L}ie mappings},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {335},
YEAR = {1993},
NUMBER = {2},
PAGES = {525--546},
ISSN = {0002-9947},
MRCLASS = {16W25 (16N60 16W10)},
MRNUMBER = {1069746},
MRREVIEWER = {Howard E. Bell},
DOI = {10.2307/2154392},
URL = {https://doi.org/10.2307/2154392},
}
# Breuer
@article {Breuer70,
AUTHOR = {Breuer, M.},
TITLE = {On the homotopy type of the group of regular elements of
semifinite von {N}eumann algebras},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {185},
YEAR = {1970},
PAGES = {61--74},
ISSN = {0025-5831,1432-1807},
MRCLASS = {46.65 (57.55)},
MRNUMBER = {264408},
MRREVIEWER = {Kazimierz\ G\polhk eba},
DOI = {10.1007/BF01350761},
URL = {https://doi.org/10.1007/BF01350761},
}
# Breuillard-Kalantar-Kennedy-Ozawa
@article {BKKO17,
AUTHOR = {Breuillard, Emmanuel and Kalantar, Mehrdad and Kennedy,
Matthew and Ozawa, Narutaka},
TITLE = {{$C^*$}-simplicity and the unique trace property for discrete
groups},
JOURNAL = {Publ. Math. Inst. Hautes \'Etudes Sci.},
FJOURNAL = {Publications Math\'ematiques. Institut de Hautes \'Etudes
Scientifiques},
VOLUME = {126},
YEAR = {2017},
PAGES = {35--71},
ISSN = {0073-8301,1618-1913},
MRCLASS = {46L10 (20C07 37A55 46L89)},
MRNUMBER = {3735864},
MRREVIEWER = {Anton\ Deitmar},
DOI = {10.1007/s10240-017-0091-2},
URL = {https://doi.org/10.1007/s10240-017-0091-2},
}
# Brodzku-Cave-Li
@article {BrodzkiCaveLi17,
AUTHOR = {Brodzki, Jacek and Cave, Chris and Li, Kang},
TITLE = {Exactness of locally compact groups},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {312},
YEAR = {2017},
PAGES = {209--233},
ISSN = {0001-8708,1090-2082},
MRCLASS = {46L10 (19K56 22D25)},
MRNUMBER = {3635811},
MRREVIEWER = {Judith\ A.\ Packer},
DOI = {10.1016/j.aim.2017.03.020},
URL = {https://doi.org/10.1016/j.aim.2017.03.020},
}
# Broise
@article {Broise67,
AUTHOR = {Broise, Michel},
TITLE = {Commutateurs dans le groupe unitaire d'un facteur},
JOURNAL = {J. Math. Pures Appl. (9)},
FJOURNAL = {Journal de Math\'ematiques Pures et Appliqu\'ees. Neuvi\`eme
S\'erie},
VOLUME = {46},
YEAR = {1967},
PAGES = {299--312},
ISSN = {0021-7824,1776-3371},
MRCLASS = {46.65 (47.00)},
MRNUMBER = {223900},
MRREVIEWER = {C.\ R.\ Putnam},
}
# Brown
@article {Brown81,
AUTHOR = {Brown, Lawrence G.},
TITLE = {Ext of certain free product {C}*-algebras},
JOURNAL = {J. Operator Theory},
FJOURNAL = {Journal of Operator Theory},
VOLUME = {6},
YEAR = {1981},
NUMBER = {1},
PAGES = {135--141},
ISSN = {0379-4024},
MRCLASS = {46M20 (46L05)},
MRNUMBER = {637007},
MRREVIEWER = {Claude\ Schochet},
}
# Brown-Ozawa
@book {BrownOzawa,
AUTHOR = {Brown, Nathanial P. and Ozawa, Narutaka},
TITLE = {{C}*-algebras and finite-dimensional approximations},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {88},
PUBLISHER = {American Mathematical Society, Providence, RI},
YEAR = {2008},
PAGES = {xvi+509},
ISBN = {978-0-8218-4381-9; 0-8218-4381-8},
MRCLASS = {46L05 (43A07 46-02 46L10)},
MRNUMBER = {2391387},
MRREVIEWER = {Mikael R{\o}rdam},
DOI = {10.1090/gsm/088},
URL = {https://doi.org/10.1090/gsm/088},
}
@book {BrownBook82,
AUTHOR = {Brown, Kenneth S.},
TITLE = {Cohomology of groups},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {87},
PUBLISHER = {Springer-Verlag, New York-Berlin},
YEAR = {1982},
PAGES = {x+306},
ISBN = {0-387-90688-6},
MRCLASS = {20-02 (18-01 20F32 20J05 55-01)},
MRNUMBER = {672956},
MRREVIEWER = {Ross\ Staffeldt},
}
#Bruning-Willgerodt
@article {BruningWillgerodt76,
AUTHOR = {Br\"uning, Jochen and Willgerodt, Wolfgang},
TITLE = {Eine {V}erallgemeinerung eines {S}atzes von {N}. {K}uiper},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {220},
YEAR = {1976},
NUMBER = {1},
PAGES = {47--58},
ISSN = {0025-5831,1432-1807},
MRCLASS = {58B05 (46L10 58D05)},
MRNUMBER = {405483},
MRREVIEWER = {P.\ A.\ Kuchment},
DOI = {10.1007/BF01354528},
URL = {https://doi.org/10.1007/BF01354528},
}
# Bunce
@article {Bunce72,
AUTHOR = {Bunce, John},
TITLE = {Characterizations of amenable and strongly amenable {C}*-algebras},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {43},
YEAR = {1972},
PAGES = {563--572},
ISSN = {0030-8730},
MRCLASS = {46L05},
MRNUMBER = {320764},
MRREVIEWER = {B. E. Johnson},
URL = {http://projecteuclid.org/euclid.pjm/1102959351},
}
# Burnstein
@article {Burstein10,
AUTHOR = {Burstein, Richard D.},
TITLE = {Commuting square subfactors and central sequences},
JOURNAL = {Internat. J. Math.},
FJOURNAL = {International Journal of Mathematics},
VOLUME = {21},
YEAR = {2010},
NUMBER = {1},
PAGES = {117--131},
ISSN = {0129-167X},
MRCLASS = {46L37},
MRNUMBER = {2642989},
MRREVIEWER = {Toshihiko Masuda},
DOI = {10.1142/S0129167X10005945},
URL = {https://doi.org/10.1142/S0129167X10005945},
}
### CCCCCCCCCCCCCCCCCCCCCC
# Cameron-Smith
@article {CameronSmith19,
AUTHOR = {Cameron, Jan and Smith, Roger R.},
TITLE = {A {G}alois correspondence for reduced crossed products of
simple {C}*-algebras by discrete groups},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques},
VOLUME = {71},
YEAR = {2019},
NUMBER = {5},
PAGES = {1103--1125},
ISSN = {0008-414X},
MRCLASS = {46L55 (46L40)},
MRNUMBER = {4010423},
MRREVIEWER = {Robert S. Doran},
DOI = {10.4153/cjm-2018-014-6},
URL = {https://doi.org/10.4153/cjm-2018-014-6},
}
# Carrion-Castillejos-Evington-Gabe-Schafhauser-Tikuisis-White
@misc{CCEGSTW,
title={Tracially complete {C}*-algebras},
author={Carri{\'o}n, Jos{\'e} and Castillejos, Jorge and Evington, Samuel and Gabe, James and Schafhauser, Christopher and Tikuisis, Aaron and White, Stuart},
note={Manuscript in preparation.}
}
#Carrion-Gabe-Schafhauser-Tikuisis-White
@article{CGSTW23,
title={Classifying *-homomorphisms {I}: unital simple nuclear {C}*-algebras},
author={Carri{\'o}n, Jos{\'e} R. and Gabe, James and Schafhauser, Christopher and Tikuisis, Aaron, and White, Stuart},
journal={arXiv:2307.06480},
year={2023}
}
# Castillejos-Evington-Tikuisis-White-Winter
@article {CETWW21,
AUTHOR = {Castillejos, Jorge and Evington, Samuel and Tikuisis, Aaron
and White, Stuart and Winter, Wilhelm},
TITLE = {Nuclear dimension of simple {C}*-algebras},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {224},
YEAR = {2021},
NUMBER = {1},
PAGES = {245--290},
ISSN = {0020-9910},
MRCLASS = {46L35 (46L05)},
MRNUMBER = {4228503},
MRREVIEWER = {Changguo Wei},
DOI = {10.1007/s00222-020-01013-1},
URL = {https://doi.org/10.1007/s00222-020-01013-1},
}
# Castillejos-Evington-Tikuisis-White
@article{CETW21,
author = {Castillejos, Jorge and Evington, Samuel and Tikuisis, Aaron and White, Stuart},
title = "{Uniform Property $\Gamma$}",
journal = {International Mathematics Research Notices},
volume = {2022},
number = {13},
pages = {9864-9908},
year = {2021},
month = {02},
abstract = "{We further examine the concept of uniform property \\$\\Gamma \\$ for \\$C^*\\$-algebras introduced in our joint work with Winter. In addition to obtaining characterisations in the spirit of Dixmier’s work on central sequences in II\\$\_1\\$ factors, we establish the equivalence of uniform property \\$\\Gamma \\$, a suitable uniform version of McDuff’s property for \\$C^*\\$-algebras, and the existence of complemented partitions of unity for separable nuclear \\$C^*\\$-algebras with no finite dimensional representations and a compact (non-empty) tracial state space. As a consequence, for \\$C^*\\$-algebras as in the Toms–Winter conjecture, the combination of strict comparison and uniform property \\$\\Gamma \\$ is equivalent to Jiang–Su stability. We also show how these ideas can be combined with those of Matui–Sato to streamline Winter’s classification by embeddings technique.}",
issn = {1073-7928},
doi = {10.1093/imrn/rnaa282},
url = {https://doi.org/10.1093/imrn/rnaa282},
eprint = {https://academic.oup.com/imrn/article-pdf/2022/13/9864/44360105/rnaa282.pdf},
}
@article {CETW22,
AUTHOR = {Castillejos, Jorge and Evington, Samuel and Tikuisis, Aaron
and White, Stuart},
TITLE = {Uniform property {$\Gamma$}},
JOURNAL = {Int. Math. Res. Not. IMRN},
FJOURNAL = {International Mathematics Research Notices. IMRN},
YEAR = {2022},
NUMBER = {13},
PAGES = {9864--9908},
ISSN = {1073-7928},
MRCLASS = {46L05 (46L35)},
MRNUMBER = {4447140},
DOI = {10.1093/imrn/rnaa282},
URL = {https://doi.org/10.1093/imrn/rnaa282},
}
# Chand-Robert
@article {ChandRobert23,
AUTHOR = {Chand, Abhinav and Robert, Leonel},
TITLE = {Simplicity, bounded normal generation, and automatic
continuity of groups of unitaries},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {415},
YEAR = {2023},
PAGES = {Paper No. 108894, 52},
ISSN = {0001-8708},
MRCLASS = {46L05 (22E65 46H40)},
MRNUMBER = {4543451},
DOI = {10.1016/j.aim.2023.108894},
URL = {https://doi.org/10.1016/j.aim.2023.108894},
}
# Chen
@book{Chen94Thesis,
AUTHOR = {Chen, Jianduan},
TITLE = {Connes' invariant $\chi(\mathcal{M})$ and cohomology of groups},
NOTE = {PhD thesis, University of California, Berkley},
YEAR = {1994},
MRCLASS = {Thesis}
}
# Choda
@article {Choda70,
AUTHOR = {Choda, Hisashi},
TITLE = {An extremal property of the polar decomposition in von
{N}eumann algebras},
JOURNAL = {Proc. Japan Acad.},
FJOURNAL = {Proceedings of the Japan Academy},
VOLUME = {46},
YEAR = {1970},
PAGES = {341--344},
ISSN = {0021-4280},
MRCLASS = {46L10},
MRNUMBER = {355624},
MRREVIEWER = {Arthur\ Lieberman},
URL = {http://projecteuclid.org/euclid.pja/1195520348},
}
# Choi-Effros
@article {ChoiEffros76,
AUTHOR = {Choi, Man Duen and Effros, Edward G.},
TITLE = {The completely positive lifting problem for
{C}*-algebras},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {104},
YEAR = {1976},
NUMBER = {3},
PAGES = {585--609},
ISSN = {0003-486X},
MRCLASS = {46L05},
MRNUMBER = {417795},
MRREVIEWER = {Maurice J. Dupr\'{e}},
DOI = {10.2307/1970968},
URL = {https://doi.org/10.2307/1970968},
}
# Choi-Farah-Ozawa
@article {ChoiFarahOzawa14,
AUTHOR = {Choi, Yemon and Farah, Ilijas and Ozawa, Narutaka},
TITLE = {A nonseparable amenable operator algebra which is not
isomorphic to a {C}*-algebra},
JOURNAL = {Forum Math. Sigma},
FJOURNAL = {Forum of Mathematics. Sigma},
VOLUME = {2},
YEAR = {2014},
PAGES = {Paper No. e2, 12},
ISSN = {2050-5094},
MRCLASS = {47L30 (03E75 46L05)},
MRNUMBER = {3177805},
DOI = {10.1017/fms.2013.6},
URL = {https://doi.org/10.1017/fms.2013.6},
}
@article {MR3177805,
AUTHOR = {Choi, Yemon and Farah, Ilijas and Ozawa, Narutaka},
TITLE = {A nonseparable amenable operator algebra which is not
isomorphic to a {${\rm C}^*$}-algebra},
JOURNAL = {Forum Math. Sigma},
FJOURNAL = {Forum of Mathematics. Sigma},
VOLUME = {2},
YEAR = {2014},
PAGES = {Paper No. e2, 12},
ISSN = {2050-5094},
MRCLASS = {47L30 (03E75 46L05)},
MRNUMBER = {3177805},
DOI = {10.1017/fms.2013.6},
URL = {https://doi.org/10.1017/fms.2013.6},
}
# Connes
@article{Connes74almost,
title={Almost periodic states and factors of type {III}$_1$},
author={Connes, Alain},
journal={Journal of Functional Analysis},
volume={16},
number={4},
pages={415--445},
year={1974},
publisher={Elsevier}
}
@article {Connes75sur,
AUTHOR = {Connes, Alain},
TITLE = {Sur la classification des facteurs de type {${\rm II}$}},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
FJOURNAL = {Comptes Rendus Hebdomadaires des S\'eances de l'Acad\'emie des
Sciences. S\'eries A et B},
VOLUME = {281},
YEAR = {1975},
NUMBER = {1},
PAGES = {Aii, A13--A15},
ISSN = {0151-0509},
MRCLASS = {46L10},
MRNUMBER = {377534},
MRREVIEWER = {S.\ Sakai},
}
@article {Connes75auto,
AUTHOR = {Connes, Alain},
TITLE = {Classification of automorphisms of hyperfinite factors of type {II}$_1$ and {II}$_{\infty}$ and application to type {III} factors},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {81},
YEAR = {1975},
NUMBER = {6},
PAGES = {1090--1092},
ISSN = {0002-9904},
MRCLASS = {46L10},
MRNUMBER = {388117},
MRREVIEWER = {Hisashi Choda},
DOI = {10.1090/S0002-9904-1975-13929-2},
URL = {https://doi.org/10.1090/S0002-9904-1975-13929-2},
}
@article {Connes75anti,
AUTHOR = {Connes, Alain},
TITLE = {A factor not anti-isomorphic to itself},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {101},
YEAR = {1975},
PAGES = {536--554},
ISSN = {0003-486X},
MRCLASS = {46L10},
MRNUMBER = {370209},
MRREVIEWER = {E. St{\o}rmer},
DOI = {10.2307/1970940},
URL = {https://doi.org/10.2307/1970940},
}
@article {Connes75Outer,
AUTHOR = {Connes, Alain},
TITLE = {Outer conjugacy classes of automorphisms of factors},
JOURNAL = {Ann. Sci. \'{E}cole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'{E}cole Normale Sup\'{e}rieure.
Quatri\`eme S\'{e}rie},
VOLUME = {8},
YEAR = {1975},
NUMBER = {3},
PAGES = {383--419},
ISSN = {0012-9593},
MRCLASS = {46L10},
MRNUMBER = {394228},
MRREVIEWER = {Hisashi\ Choda},
URL = {http://www.numdam.org/item?id=ASENS_1975_4_8_3_383_0},
}
@article {Connes76,
AUTHOR = {Connes, Alain},
TITLE = {Classification of injective factors Cases {II}$_1$, {II}$_\infty$, {III}$_\lambda$, $\lambda \neq 1$},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {104},
YEAR = {1976},
NUMBER = {1},
PAGES = {73--115},
ISSN = {0003-486X},
MRCLASS = {46L10},
MRNUMBER = {454659},
MRREVIEWER = {Fran\c{c}ois Combes},
DOI = {10.2307/1971057},
URL = {https://doi.org/10.2307/1971057},
}
@article {Connes77,
AUTHOR = {Connes, Alain},
TITLE = {Periodic automorphisms of the hyperfinite factor of type {II}$_1$},
JOURNAL = {Acta Sci. Math. (Szeged)},
FJOURNAL = {Acta Universitatis Szegediensis. Acta Scientiarum
Mathematicarum},
VOLUME = {39},
YEAR = {1977},
NUMBER = {1-2},
PAGES = {39--66},
ISSN = {0001-6969},
MRCLASS = {46L10},
MRNUMBER = {448101},
MRREVIEWER = {Yoshinori Haga},
}
@article {Connes78,
AUTHOR = {Connes, Alain},
TITLE = {On the cohomology of operator algebras},
JOURNAL = {J. Functional Analysis},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {28},
YEAR = {1978},
NUMBER = {2},
PAGES = {248--253},
ISSN = {0022-1236},
MRCLASS = {46L10},
MRNUMBER = {493383},
MRREVIEWER = {Man-Duen\ Choi},
DOI = {10.1016/0022-1236(78)90088-5},
URL = {https://doi.org/10.1016/0022-1236(78)90088-5},
}
@article {Connes85,
AUTHOR = {Connes, Alain},
TITLE = {FACTORS OF TYPE {III}$_1$, PROPERTY {L}$_\lambda'$ AND CLOSURE OF INNER AUTOMORPHISMS},
JOURNAL = {J. Operator Theory},
FJOURNAL = {Journal of Operator Theory},
VOLUME = {14},
YEAR = {1985},
NUMBER = {1},
PAGES = {189--211},
ISSN = {0379-4024},
MRCLASS = {46L35},
MRNUMBER = {789385},
MRREVIEWER = {M. Takesaki},
}
# Conway
@book {Conway19,
AUTHOR = {Conway, John B.},
TITLE = {A course in functional analysis},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {96},
PUBLISHER = {Springer-Verlag, New York},
YEAR = {1985},
PAGES = {xiv+404},
ISBN = {0-387-96042-2},
MRCLASS = {46-01 (47-01)},
MRNUMBER = {768926},
MRREVIEWER = {Greg Robel},
DOI = {10.1007/978-1-4757-3828-5},
URL = {https://doi.org/10.1007/978-1-4757-3828-5},
}
# Cuntz
@article {Cuntz77,
AUTHOR = {Cuntz, Joachim},
TITLE = {Simple {C}*-algebras generated by isometries},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {57},
YEAR = {1977},
NUMBER = {2},
PAGES = {173--185},
ISSN = {0010-3616},
MRCLASS = {46L05},
MRNUMBER = {467330},
MRREVIEWER = {E. St{\o}rmer},
URL = {http://projecteuclid.org/euclid.cmp/1103901288},
}
@article {Cuntz81,
AUTHOR = {Cuntz, Joachim},
TITLE = {{K}-theory for certain {C}*-algebras},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {113},
YEAR = {1981},
NUMBER = {1},
PAGES = {181--197},
ISSN = {0003-486X},
MRCLASS = {46L05 (16A54 18G99 46M20 58G12)},
MRNUMBER = {604046},
MRREVIEWER = {Vern Paulsen},
DOI = {10.2307/1971137},
URL = {https://doi.org/10.2307/1971137},
}
# Cuntz-Pedersen
@article{CuntzPedersen79,
title={Equivalence and traces on {C}*-algebras},
author={Cuntz, Joachim and Pedersen, Gert K.},
journal={Journal of Functional Analysis},
volume={33},
number={2},
pages={135--164},
year={1979},
publisher={Elsevier}
}
@article {CuntzPedersen79,
AUTHOR = {Cuntz, Joachim and Pedersen, Gert Kjaerg\.{a}rd},
TITLE = {Equivalence and traces on {C}*-algebras},
JOURNAL = {J. Functional Analysis},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {33},
YEAR = {1979},
NUMBER = {2},
PAGES = {135--164},
ISSN = {0022-1236},
MRCLASS = {46L05},
MRNUMBER = {546503},
MRREVIEWER = {Richard I. Loebl},
DOI = {10.1016/0022-1236(79)90108-3},
URL = {https://doi.org/10.1016/0022-1236(79)90108-3},
}
### DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
# Dadarlat
@article {Dadarlat95,
AUTHOR = {Dadarlat, Marius},
TITLE = {Reduction to dimension three of local spectra of real rank
zero {C}*-algebras},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {460},
YEAR = {1995},
PAGES = {189--212},
ISSN = {0075-4102},
MRCLASS = {46L85 (19K14 46L35)},
MRNUMBER = {1316577},
MRREVIEWER = {Terry A. Loring},
DOI = {10.1515/crll.1995.460.189},
URL = {https://doi.org/10.1515/crll.1995.460.189},
}
# Dadarlat-Loring
@article {DadarlatLoring96,
AUTHOR = {Dadarlat, Marius and Loring, Terry A.},
TITLE = {A universal multicoefficient theorem for the {K}asparov
groups},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {84},
YEAR = {1996},
NUMBER = {2},
PAGES = {355--377},
ISSN = {0012-7094},
MRCLASS = {46L80 (19K35 46L35)},
MRNUMBER = {1404333},
MRREVIEWER = {Kevin McClanahan},
DOI = {10.1215/S0012-7094-96-08412-4},
URL = {https://doi.org/10.1215/S0012-7094-96-08412-4},
}
@article {DadarlatWinter09,
AUTHOR = {Dadarlat, Marius and Winter, Wilhelm},
TITLE = {On the {KK}-theory of strongly self-absorbing
{C}*-algebras},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {104},
YEAR = {2009},
NUMBER = {1},
PAGES = {95--107},
ISSN = {0025-5521},
MRCLASS = {46L80 (19K35 46L05)},
MRNUMBER = {2498373},
MRREVIEWER = {Vladimir Manuilov},
DOI = {10.7146/math.scand.a-15086},
URL = {https://doi.org/10.7146/math.scand.a-15086},
}
# Davidson
@book {DavidsonBook1,
AUTHOR = {Davidson, Kenneth R.},
TITLE = {{C}*-algebras by example},
SERIES = {Fields Institute Monographs},
VOLUME = {6},
PUBLISHER = {American Mathematical Society, Providence, RI},
YEAR = {1996},
PAGES = {xiv+309},
ISBN = {0-8218-0599-1},
MRCLASS = {46Lxx (46-01)},
MRNUMBER = {1402012},
MRREVIEWER = {Robert S. Doran},
DOI = {10.1090/fim/006},
URL = {https://doi.org/10.1090/fim/006},
}
# Davidson-Kennedy
@article{DavidsonKennedy19,
title={Noncommutative choquet theory},
author={Davidson, Kenneth R and Kennedy, Matthew},
journal={arXiv:1905.08436},
year={2019}
}
#de Lacerda Mortari
@book {deLacerdaMortari09,
AUTHOR = {Mortari, Fernando de Lacerda},
TITLE = {Tracial state spaces of higher stable rank simple
{C}*-algebras},
NOTE = {Thesis (Ph.D.)--University of Toronto (Canada)},
PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
YEAR = {2009},
PAGES = {41},
ISBN = {978-0494-61035-0},
MRCLASS = {Thesis},
MRNUMBER = {2753146},
URL =
{http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:NR61035},
}
# de la Harpe
@incollection {dlHarpe79Moyen,
AUTHOR = {de la Harpe, Pierre},
TITLE = {Moyennabilit\'{e} du groupe unitaire et propri\'{e}t\'{e}
{$P$} de {S}chwartz des alg\`ebres de von {N}eumann},
BOOKTITLE = {Alg\`ebres d'op\'{e}rateurs ({S}\'{e}m., {L}es
{P}lans-sur-{B}ex, 1978)},
SERIES = {Lecture Notes in Math.},
VOLUME = {725},
PAGES = {220--227},
PUBLISHER = {Springer, Berlin},
YEAR = {1979},
ISBN = {3-540-09512-8},
MRCLASS = {46L35 (22E65 58B25)},
MRNUMBER = {548116},
MRREVIEWER = {Marie\ Choda},
}
@article {dlHarpe79Simp,
AUTHOR = {de la Harpe, Pierre},
TITLE = {Simplicity of the projective unitary groups defined by simple
factors},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {54},
YEAR = {1979},
NUMBER = {2},
PAGES = {334--345},
ISSN = {0010-2571,1420-8946},
MRCLASS = {22E65 (46L99)},
MRNUMBER = {535064},
MRREVIEWER = {Raymond\ Streater},
DOI = {10.1007/BF02566277},
URL = {https://doi.org/10.1007/BF02566277},
}
@article {dlHarpe13,
AUTHOR = {de la Harpe, Pierre},
TITLE = {Fuglede--{K}adison determinant: theme and variations},
JOURNAL = {Proc. Natl. Acad. Sci. USA},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {110},
YEAR = {2013},
NUMBER = {40},
PAGES = {15864--15877},
ISSN = {0027-8424},
MRCLASS = {46L10},
MRNUMBER = {3363445},
DOI = {10.1073/pnas.1202059110},
URL = {https://doi.org/10.1073/pnas.1202059110},
}
# de la Harpe-McDuff
@article {dlHarpeMcDuff83,
AUTHOR = {de la Harpe, Pierre and McDuff, Dusa},
TITLE = {Acyclic groups of automorphisms},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {58},
YEAR = {1983},
NUMBER = {1},
PAGES = {48--71},
ISSN = {0010-2571,1420-8946},
MRCLASS = {22D45 (18F25 57S05)},
MRNUMBER = {699006},
MRREVIEWER = {A.\ A.\ Ranicki},
DOI = {10.1007/BF02564624},
URL = {https://doi.org/10.1007/BF02564624},
}
# de la Harpe-Skandalis
@article {dlHS84a,
AUTHOR = {de la Harpe, Pierre and Skandalis, Georges},
TITLE = {D\'{e}terminant associ\'{e} \`a une trace sur une alg\'{e}bre de {B}anach},
JOURNAL = {Ann. Inst. Fourier (Grenoble)},
FJOURNAL = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
VOLUME = {34},
YEAR = {1984},
NUMBER = {1},
PAGES = {241--260},
ISSN = {0373-0956},
MRCLASS = {46L80 (18F25 19K14 19K56 46L05 58G12)},
MRNUMBER = {743629},
MRREVIEWER = {G. A. Elliott},
URL = {http://www.numdam.org/item?id=AIF_1984__34_1_241_0},
}
@article {dlHS84b,
AUTHOR = {de la Harpe, Pierre and Skandalis, Georges},
TITLE = {Produits finis de commutateurs dans les {C}*-alg\`ebres},
JOURNAL = {Ann. Inst. Fourier (Grenoble)},
FJOURNAL = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
VOLUME = {34},
YEAR = {1984},
NUMBER = {4},
PAGES = {169--202},
ISSN = {0373-0956},
MRCLASS = {46L05 (18F25 19B99 19C09 19K14 46L80 58G12)},
MRNUMBER = {766279},
MRREVIEWER = {G. A. Elliott},
URL = {http://www.numdam.org/item?id=AIF_1984__34_4_169_0},
}
# Dummit-Foote
@book {DummitFoote,
AUTHOR = {Dummit, David S. and Foote, Richard M.},
TITLE = {Abstract algebra},
EDITION = {Third},
PUBLISHER = {John Wiley \& Sons, Inc., Hoboken, NJ},
YEAR = {2004},
PAGES = {xii+932},
ISBN = {0-471-43334-9},
MRCLASS = {00-01 (16-01 20-01)},
MRNUMBER = {2286236},
}
# Dye
@article {Dye53,
AUTHOR = {Dye, Henry A.},
TITLE = {The unitary structure in finite rings of operators},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {20},
YEAR = {1953},
PAGES = {55--69},
ISSN = {0012-7094},
MRCLASS = {46.3X},
MRNUMBER = {52695},
MRREVIEWER = {F. I. Mautner},
URL = {http://projecteuclid.org/euclid.dmj/1077465064},
}
@article {Dye55,
AUTHOR = {Dye, Henry A.},
TITLE = {On the geometry of projections in certain operator algebras},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {61},
YEAR = {1955},
PAGES = {73--89},
ISSN = {0003-486X},
MRCLASS = {46.0X},
MRNUMBER = {66568},
MRREVIEWER = {J. Dixmier},
DOI = {10.2307/1969620},
URL = {https://doi.org/10.2307/1969620},
}
# Dykema-Haagerup-Rordam
@article {DykemaHaagerupRordam97,
AUTHOR = {Dykema, Kenneth J. and Haagerup, Uffe and R{\o}rdam, Mikael},
TITLE = {The stable rank of some free product {C}*-algebras},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {90},
YEAR = {1997},
NUMBER = {1},
PAGES = {95--121},
ISSN = {0012-7094,1547-7398},
MRCLASS = {46L05 (19B10 19K56 46L35 46L80)},
MRNUMBER = {1478545},
MRREVIEWER = {Gustavo\ Corach},
DOI = {10.1215/S0012-7094-97-09004-9},
URL = {https://doi.org/10.1215/S0012-7094-97-09004-9},
}
# Dykema-Rordam
@article {DykemaRordam98,
AUTHOR = {Dykema, Kenneth J. and R{\o}rdam, Mikael},
TITLE = {Projections in free product {C}*-algebras},
JOURNAL = {Geom. Funct. Anal.},
FJOURNAL = {Geometric and Functional Analysis},
VOLUME = {8},
YEAR = {1998},
NUMBER = {1},
PAGES = {1--16},
ISSN = {1016-443X,1420-8970},
MRCLASS = {46L05},
MRNUMBER = {1601917},
MRREVIEWER = {Gustavo\ Corach},
DOI = {10.1007/s000390050046},
URL = {https://doi.org/10.1007/s000390050046},
}
@article {DykemaRordam00,
AUTHOR = {Dykema, Kenneth J. and R{\o}rdam, Mikael},
TITLE = {Projections in free product {C}*-algebras. {II}},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {234},
YEAR = {2000},
NUMBER = {1},
PAGES = {103--113},
ISSN = {0025-5874,1432-1823},
MRCLASS = {46L09},
MRNUMBER = {1759493},
MRREVIEWER = {Gustavo\ Corach},
DOI = {10.1007/s002090050505},
URL = {https://doi.org/10.1007/s002090050505},
}
### EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
# Effros-Lance
@article {EffrosLance77,
AUTHOR = {Effros, Edward G. and Lance, E. Christopher},
TITLE = {Tensor products of operator algebras},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {25},
YEAR = {1977},
NUMBER = {1},
PAGES = {1--34},
ISSN = {0001-8708,1090-2082},
MRCLASS = {46L05 (46L10 46M05)},
MRNUMBER = {448092},
MRREVIEWER = {Jun\ Tomiyama},
DOI = {10.1016/0001-8708(77)90085-8},
URL = {https://doi.org/10.1016/0001-8708(77)90085-8},
}
# Elliott
@article {Elliott76,
AUTHOR = {Elliott, George A.},
TITLE = {On the classification of inductive limits of sequences of
semisimple finite-dimensional algebras},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {38},
YEAR = {1976},
NUMBER = {1},
PAGES = {29--44},
ISSN = {0021-8693},
MRCLASS = {46L05 (16A46)},
MRNUMBER = {397420},
MRREVIEWER = {Horst Behncke},
DOI = {10.1016/0021-8693(76)90242-8},
URL = {https://doi.org/10.1016/0021-8693(76)90242-8},
}
@incollection {Elliott93a,
AUTHOR = {Elliott, George A.},
TITLE = {A classification of certain simple {$C^*$}-algebras},
BOOKTITLE = {Quantum and non-commutative analysis ({K}yoto, 1992)},
SERIES = {Math. Phys. Stud.},
VOLUME = {16},
PAGES = {373--385},
PUBLISHER = {Kluwer Acad. Publ., Dordrecht},
YEAR = {1993},
ISBN = {0-7923-2532-X},
MRCLASS = {46L35 (19K14 46L05 46L80)},
MRNUMBER = {1276305},
MRREVIEWER = {Terry\ A.\ Loring},
}
@article {Elliott93,
AUTHOR = {Elliott, George A.},
TITLE = {On the classification of {C}*-algebras of real rank zero},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {443},
YEAR = {1993},
PAGES = {179--219},
ISSN = {0075-4102},
MRCLASS = {46L05 (19K14 46L80)},
MRNUMBER = {1241132},
MRREVIEWER = {Shuang Zhang},
DOI = {10.1515/crll.1993.443.179},
URL = {https://doi.org/10.1515/crll.1993.443.179},
}
@article{Elliott22,
title="K-Theory and Traces",
author="Elliott, George A.",
journal="C. R. Math. Rep. Acad. Sci. Canada",
volume="44",
number="1",
pages="1--15",
year="2022"
}
# Elliott-Gong-Lin-Niu
@article{EGLN15,
title={On the classification of simple amenable {C}*-algebras with finite decomposition rank, {II}},
author={Elliott, George A. and Gong, Guihua and Lin, H. and Niu, Zhuang},
journal={arXiv:1507.03437},
year={2015}
}
@misc{ElliottLiNiu23,
title={Remarks on {V}illadsen algebras},
author={Elliott, George A. and Li, Chun G. and Niu, Zhuang},
year={2023},
eprint={2209.10649},
archivePrefix={arXiv},
primaryClass={math.OA},
NOTE={preprint}
}
# Elliott-Niu
@article {ElliottNiu12,
AUTHOR = {Elliott, George A. and Niu, Zhuang},
TITLE = {Extended rotation algebras: adjoining spectral projections to
rotation algebras},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {665},
YEAR = {2012},
PAGES = {1--71},
ISSN = {0075-4102},
MRCLASS = {46L05},
MRNUMBER = {2908740},
MRREVIEWER = {William Paschke},
DOI = {10.1515/CRELLE.2011.112},
URL = {https://doi.org/10.1515/CRELLE.2011.112},
}
@article {ElliottNiu15,
AUTHOR = {Elliott, George A. and Niu, Zhuang},
TITLE = {All irrational extended rotation algebras are {AF} algebras},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques},
VOLUME = {67},
YEAR = {2015},
NUMBER = {4},
PAGES = {810--826},
ISSN = {0008-414X},
MRCLASS = {46L05 (46L35)},
MRNUMBER = {3361014},
MRREVIEWER = {Katsutoshi Kawashima},
DOI = {10.4153/CJM-2014-022-5},
URL = {https://doi.org/10.4153/CJM-2014-022-5},
}
@incollection {ElliottNiu16,
AUTHOR = {Elliott, George A. and Niu, Zhuang},
TITLE = {On the classification of simple amenable {C}*-algebras with
finite decomposition rank},
BOOKTITLE = {Operator algebras and their applications},
SERIES = {Contemp. Math.},
VOLUME = {671},
PAGES = {117--125},
PUBLISHER = {Amer. Math. Soc., Providence, RI},
YEAR = {2016},
MRCLASS = {46L35},
MRNUMBER = {3546681},
DOI = {10.1090/conm/671/13506},
URL = {https://doi.org/10.1090/conm/671/13506},
}
# Elliott-Villadsen
@article {ElliottVilladsen00,
AUTHOR = {Elliott, George A. and Villadsen, Jesper},
TITLE = {Perforated ordered {$K_0$}-groups},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques},
VOLUME = {52},
YEAR = {2000},
NUMBER = {6},
PAGES = {1164--1191},
ISSN = {0008-414X},
MRCLASS = {46L80 (19K14 46L05)},
MRNUMBER = {1794301},
DOI = {10.4153/CJM-2000-049-9},
URL = {https://doi.org/10.4153/CJM-2000-049-9},
}
# Echterhoff-Rordam
@article{EchterhoffRordam21,
title={Inclusions of {C}*-algebras arising from fixed-point algebras},
author={Echterhoff, Siegfried and R{\o}rdam, Mikael},
journal={arXiv:2108.08832},
year={2021}
}
# Enders-Schemaitat-Tikuisis
@article{EndersSchemaitatTikuisis23,
title={Corrigendum to ``{$K$}-theoretic characterization of {C}*-algebras with approximately inner flip''},
author={Enders, Dominic and Schemaitat, Andr{\'e} and Tikuisis, Aaron},
journal={arXiv:2303.11106},
year={2023}
}
# Evans-Kawahigashi
@book {EvansKawahigashiBook,
AUTHOR = {Evans, David E. and Kawahigashi, Yasuyuki},
TITLE = {Quantum symmetries on operator algebras},
SERIES = {Oxford Mathematical Monographs},
NOTE = {Oxford Science Publications},
PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
YEAR = {1998},
PAGES = {xvi+829},
ISBN = {0-19-851175-2},
MRCLASS = {46L37 (19K99 46L60 46L80 46N55 82B10)},
MRNUMBER = {1642584},
MRREVIEWER = {Carl\ Winsl\o w},
}
# Evington-Giron Pacheco-Jones
@misc{EvingtonGiPachJones24,
title={Equivariant $\mathcal{D}$-stability for Actions of Tensor Categories},
author={Samuel Evington and Sergio Girón Pacheco and Corey Jones},
year={2024},
eprint={2401.14238},
archivePrefix={arXiv},
primaryClass={math.OA},
url={https://arxiv.org/abs/2401.14238},
}
# Evington-Pennig
@article {EvingtonPennig16,
AUTHOR = {Evington, Samuel and Pennig, Ulrich},
TITLE = {Locally trivial {W}*-bundles},
JOURNAL = {Internat. J. Math.},
FJOURNAL = {International Journal of Mathematics},
VOLUME = {27},
YEAR = {2016},
NUMBER = {11},
PAGES = {1650088, 25},
ISSN = {0129-167X,1793-6519},
MRCLASS = {46L35},
MRNUMBER = {3570373},
MRREVIEWER = {Maria\ Grazia\ Viola},
DOI = {10.1142/S0129167X16500889},
URL = {https://doi.org/10.1142/S0129167X16500889},
}
### FFFFFFFFFFFFFFFFFFFFFF
# Fack-de la Harpe
@article {FackdlHarpe80,
AUTHOR = {Fack, Thierry and de la Harpe, Pierre},
TITLE = {Sommes de commutateurs dans les alg\`ebres de von {N}eumann
finies continues},
JOURNAL = {Ann. Inst. Fourier (Grenoble)},
FJOURNAL = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
VOLUME = {30},
YEAR = {1980},
NUMBER = {3},
PAGES = {49--73},
ISSN = {0373-0956,1777-5310},
MRCLASS = {46L10},
MRNUMBER = {597017},
MRREVIEWER = {H.\ Halpern},
URL = {http://www.numdam.org/item?id=AIF_1980__30_3_49_0},
}
#FangGeLi
@article {FangGeLi06,
AUTHOR = {Fang, Junsheng and Ge, Liming and Li, Weihua},
TITLE = {Central sequence algebras of von {N}eumann algebras},
JOURNAL = {Taiwanese J. Math.},
FJOURNAL = {Taiwanese Journal of Mathematics},
VOLUME = {10},
YEAR = {2006},
NUMBER = {1},
PAGES = {187--200},
ISSN = {1027-5487},
MRCLASS = {46L10 (46M07)},
MRNUMBER = {2186173},
MRREVIEWER = {H. Halpern},
DOI = {10.11650/twjm/1500403810},
URL = {https://doi.org/10.11650/twjm/1500403810},
}
# Farah-Hirshberg
@article{FarahHirshberg16,
title={A simple {AF} algebra not isomorphic to its opposite},
author={Farah, Ilijas and Hirshberg, Ilan},
journal={arXiv:1612.01170},
year={2016}
}
@article {FarahHirshberg17,
AUTHOR = {Farah, Ilijas and Hirshberg, Ilan},
TITLE = {Simple nuclear {C}*-algebras not isomorphic to their
opposites},
JOURNAL = {Proc. Natl. Acad. Sci. USA},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {114},
YEAR = {2017},
NUMBER = {24},
PAGES = {6244--6249},
ISSN = {0027-8424},
MRCLASS = {46L10},
MRNUMBER = {3667529},
MRREVIEWER = {Fyodor A. Sukochev},
DOI = {10.1073/pnas.1619936114},
URL = {https://doi.org/10.1073/pnas.1619936114},
}
# Fogang Takoutsing-Robert
@article{FoTakRobert24,
title={Distinguishing {C}*-algebras by their unitary groups},
author={Fogang Takoutsing, Lionel and Robert, Leonel},
journal={Proceedings of the American Mathematical Society},
volume={152},
number={10},
pages={4301--4310},
year={2024}
}
# Folland
@book {Follandbook16,
AUTHOR = {Folland, Gerald B.},
TITLE = {A course in abstract harmonic analysis},
SERIES = {Textbooks in Mathematics},
EDITION = {Second},
PUBLISHER = {CRC Press, Boca Raton, FL},
YEAR = {2016},
PAGES = {xiii+305 pp.+loose errata},
ISBN = {978-1-4987-2713-6},
MRCLASS = {43-01 (22-01 42-01 46-01)},
MRNUMBER = {3444405},
MRREVIEWER = {D. L. Salinger},
}
# Fuglede-Kadison
@article {FugledeKadison52,
AUTHOR = {Fuglede, Bent and Kadison, Richard V.},
TITLE = {Determinant theory in finite factors},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {55},
YEAR = {1952},
PAGES = {520--530},
ISSN = {0003-486X},
MRCLASS = {46.3X},
MRNUMBER = {52696},
MRREVIEWER = {F.\ I.\ Mautner},
DOI = {10.2307/1969645},
URL = {https://doi.org/10.2307/1969645},
}
### GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG
# Gabe
@article{Gabe19,
title={Classification of $\mathcal{O}_\infty$-stable {C}*-algebras},
author={Gabe, James},
journal={arXiv:1910.06504},
year={2019}
}
@article {Gabe20,
AUTHOR = {Gabe, James},
TITLE = {A new proof of {K}irchberg's $\mathcal{O}_2$-stable classification},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {761},
YEAR = {2020},
PAGES = {247--289},
ISSN = {0075-4102},
MRCLASS = {46L35 (46L05)},
MRNUMBER = {4080250},
MRREVIEWER = {Francesc Perera},
DOI = {10.1515/crelle-2018-0010},
URL = {https://doi.org/10.1515/crelle-2018-0010},
}
# Ganea
@article {Ganea68,
AUTHOR = {Ganea, Tudor},
TITLE = {Homologie et extensions centrales de groupes},
JOURNAL = {C. R. Acad. Sci. Paris S\'{e}r. A-B},
FJOURNAL = {Comptes Rendus Hebdomadaires des S\'{e}ances de l'Acad\'{e}mie
des Sciences. S\'{e}ries A et B},
VOLUME = {266},
YEAR = {1968},
PAGES = {A556--A558},
ISSN = {0151-0509},
MRCLASS = {20.48 (18.00)},
MRNUMBER = {231914},
MRREVIEWER = {U.\ Stammbach},
}
# Gardella
@article{Gardella17,
title={{R}okhlin-type properties for group actions on {C}*-algebras},
author={Gardella, Eusebio},
journal={Lecture Notes, IPM, Tehran},
year={2017}
}
@book {GardellaBook,
AUTHOR = {Gardella, Emilio Eusebio},
TITLE = {Compact group actions on {C}*-algebras: classification,
non-classifiability, and crossed products and rigidity results
for {L}p-operator algebras},
NOTE = {Thesis (Ph.D.)--University of Oregon},
PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
YEAR = {2015},
PAGES = {713},
ISBN = {978-1321-96796-8},
MRCLASS = {Thesis},
MRNUMBER = {3407494},
URL =
{http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3717348},
}
# Gardella-Hirshberg
@article{GardellaHirshberg18,
title={Strongly outer actions of amenable groups on $\mathcal{Z}$-stable {C}*-algebras},
author={Gardella, Eusebio and Hirshberg, Ilan},
journal={arXiv:1811.00447},
year={2018}
}
# Gardella-Lupini
@article {GardellaLupini18,
AUTHOR = {Gardella, Eusebio and Lupini, Martino},
TITLE = {Applications of model theory to {C}*-dynamics},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {275},
YEAR = {2018},
NUMBER = {7},
PAGES = {1889--1942},
ISSN = {0022-1236},
MRCLASS = {03C98 (28D05 37A55 46L40 46L55 46M07)},
MRNUMBER = {3832010},
MRREVIEWER = {Alessandro Vignati},
DOI = {10.1016/j.jfa.2018.03.020},
URL = {https://doi.org/10.1016/j.jfa.2018.03.020},
}
# Gardella-Geffen-Naryshkin-Vaccaro
@article{GardellaGeffenNaryshkinVaccaro24,
title={Dynamical comparison and Z-stability for crossed products of simple C⁎-algebras},
author={Gardella, Eusebio and Geffen, Shirly and Naryshkin, Petr and Vaccaro, Andrea},
journal={Advances in Mathematics},
volume={438},
pages={109471},
year={2024},
publisher={Elsevier}
}
# Gardella-Perera
@article{GardellaPerera22,
title={The modern theory of Cuntz semigroups of C*-algebras},
author={Gardella, Eusebio and Perera, Francesc},
journal={arXiv preprint arXiv:2212.02290},
year={2022}
}
# Ge
@article {Ge95,
AUTHOR = {Ge, Liming},
TITLE = {A splitting property for subalgebras of tensor products},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {32},
YEAR = {1995},
NUMBER = {1},
PAGES = {57--60},
ISSN = {0273-0979,1088-9485},
MRCLASS = {46L35 (46L10 46M05)},
MRNUMBER = {1273397},
MRREVIEWER = {Sze-Kai\ Tsui},
DOI = {10.1090/S0273-0979-1995-00556-2},
URL = {https://doi.org/10.1090/S0273-0979-1995-00556-2},
}
@article {GeKadison96,
AUTHOR = {Ge, Liming and Kadison, Richard V.},
TITLE = {On tensor products for von {N}eumann algebras},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {123},
YEAR = {1996},
NUMBER = {3},
PAGES = {453--466},
ISSN = {0020-9910,1432-1297},
MRCLASS = {46L10 (46M05)},
MRNUMBER = {1383957},
MRREVIEWER = {Sze-Kai\ Tsui},
DOI = {10.1007/s002220050036},
URL = {https://doi.org/10.1007/s002220050036},
}
# Geffen-Ursu
@article{GeffenUrsu23,
title={Simplicity of crossed products by FC-hypercentral groups},
author={Geffen, Shirly and Ursu, Dan},
journal={arXiv:2304.07852},
year={2023}
}
# Germain
@article{Germain96,
author = {Emmanuel Germain},
title = {{KK}-theory of reduced free-product {C}*-algebras},
volume = {82},
journal = {Duke Mathematical Journal},
number = {3},
publisher = {Duke University Press},
pages = {707 -- 723},
year = {1996},
doi = {10.1215/S0012-7094-96-08229-0},
URL = {https://doi.org/10.1215/S0012-7094-96-08229-0}
}
@article{Germain97,
url = {https://doi.org/10.1515/crll.1997.485.1},
title = {{KK}-theory of the full free product of unital {C}*-algebras},
author = {Emmanuel Germain},
pages = {1--10},
volume = {1997},
number = {485},
journal = {Journal f\"{u}r die reine und angewandte Mathematik},
doi = {doi:10.1515/crll.1997.485.1},
year = {1997},
lastchecked = {2024-07-09}
}
# Giordano-Pestov
@article {GiordanoPestov02,
AUTHOR = {Giordano, Thierry and Pestov, Vladimir},
TITLE = {Some extremely amenable groups},
JOURNAL = {C. R. Math. Acad. Sci. Paris},
FJOURNAL = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences.
Paris},
VOLUME = {334},
YEAR = {2002},
NUMBER = {4},
PAGES = {273--278},
ISSN = {1631-073X,1778-3569},
MRCLASS = {43A07 (46L10)},
MRNUMBER = {1891002},
DOI = {10.1016/S1631-073X(02)02218-5},
URL = {https/://doi.org/10.1016/S1631-073X(02)02218-5},
}
@article {GiordanoPestov07,
AUTHOR = {Giordano, Thierry and Pestov, Vladimir},
TITLE = {Some extremely amenable groups related to operator algebras
and ergodic theory},
JOURNAL = {J. Inst. Math. Jussieu},
FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ.
Journal de l'Institut de Math\'{e}matiques de Jussieu},
VOLUME = {6},
YEAR = {2007},
NUMBER = {2},
PAGES = {279--315},
ISSN = {1474-7480,1475-3030},
MRCLASS = {22D25 (22F50 37A15 43A07 46L99)},
MRNUMBER = {2311665},
MRREVIEWER = {Matthew\ D.\ Daws},
DOI = {10.1017/S1474748006000090},
URL = {https://doi.org/10.1017/S1474748006000090},
}
# Giordano-Sierakowski
@article {GiordanoSierakowski16,
AUTHOR = {Giordano, Thierry and Sierakowski, Adam},
TITLE = {The general linear group as a complete invariant for
{C}*-algebras},
JOURNAL = {J. Operator Theory},
FJOURNAL = {Journal of Operator Theory},
VOLUME = {76},
YEAR = {2016},
NUMBER = {2},
PAGES = {249--269},
ISSN = {0379-4024},
MRCLASS = {46L35 (47L80)},
MRNUMBER = {3552377},
MRREVIEWER = {Marius V. Ionescu},
DOI = {10.7900/jot.2015may27.2112},
URL = {https://doi.org/10.7900/jot.2015may27.2112},
}
# Giordano-Skandalis
@article {GiordanoSkandalis85,
AUTHOR = {Giordano, T. and Skandalis, G.},
TITLE = {{K}rieger factors isomorphic to their tensor square and pure
point spectrum flows},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {64},
YEAR = {1985},
NUMBER = {2},
PAGES = {209--226},
ISSN = {0022-1236},
MRCLASS = {46L35},
MRNUMBER = {812392},
MRREVIEWER = {Michel Hilsum},
DOI = {10.1016/0022-1236(85)90075-8},
URL = {https://doi.org/10.1016/0022-1236(85)90075-8},
}
#Giron Pacheco-Neagu
@misc{GiPachNeagu24,
title={An Elliott intertwining approach to classifying actions of {C}*-tensor categories},
author={Sergio Girón Pacheco and Robert Neagu},
year={2024},
eprint={2310.18125},
archivePrefix={arXiv},
primaryClass={math.OA},
url={https://arxiv.org/abs/2310.18125},
}
# Gong
@article {Gong97,
AUTHOR = {Gong, Guihua},
TITLE = {On inductive limits of matrix algebras over higher-dimensional
spaces. {I}, {II}},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {80},
YEAR = {1997},
NUMBER = {1},
PAGES = {41--55, 56--100},
ISSN = {0025-5521},
MRCLASS = {46L05 (19K14 46L35 46L80)},
MRNUMBER = {1466905},
MRREVIEWER = {Terry A. Loring},
DOI = {10.7146/math.scand.a-12611},
URL = {https://doi.org/10.7146/math.scand.a-12611},
}
# Gong-Jiang-Su
@article {GongJiangSu00,
AUTHOR = {Gong, Guihua and Jiang, Xinhui and Su, Hongbing},
TITLE = {Obstructions to $\mathcal{Z}$-stability for unital simple
{$C^*$}-algebras},
JOURNAL = {Canad. Math. Bull.},
FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de
Math\'{e}matiques},
VOLUME = {43},
YEAR = {2000},
NUMBER = {4},
PAGES = {418--426},
ISSN = {0008-4395},
MRCLASS = {46L05 (46L80)},
MRNUMBER = {1793944},
MRREVIEWER = {Takahiro Sudo},
DOI = {10.4153/CMB-2000-050-1},
URL = {https://doi.org/10.4153/CMB-2000-050-1},
}
# Gong-Lin-Niu
@article {GongLinNiu20I,
AUTHOR = {Gong, Guihua and Lin, Huaxin and Niu, Zhuang},
TITLE = {A classification of finite simple amenable $\mathcal{Z}$-stable
{C}*-algebras, {I}: {C}*-algebras with generalized
tracial rank one},
JOURNAL = {C. R. Math. Acad. Sci. Soc. R. Can.},
FJOURNAL = {Comptes Rendus Math\'{e}matiques de l'Acad\'{e}mie des Sciences. La
Soci\'{e}t\'{e} Royale du Canada. Mathematical Reports of the Academy
of Science. The Royal Society of Canada},
VOLUME = {42},
YEAR = {2020},
NUMBER = {3},
PAGES = {63--450},
ISSN = {0706-1994},
MRCLASS = {46L35 (46L05 46L80)},
MRNUMBER = {4215379},
}
@article {GongLinNiu20II,
AUTHOR = {Gong, Guihua and Lin, Huaxin and Niu, Zhuang},
TITLE = {A classification of finite simple amenable $\mathcal{Z}$-stable {C}*-algebras, {II}: {C}*-algebras with rational generalized tracial rank one},
JOURNAL = {C. R. Math. Acad. Sci. Soc. R. Can.},
FJOURNAL = {Comptes Rendus Math\'{e}matiques de l'Acad\'{e}mie des Sciences. La
Soci\'{e}t\'{e} Royale du Canada. Mathematical Reports of the Academy
of Science. The Royal Society of Canada},
VOLUME = {42},
YEAR = {2020},
NUMBER = {4},
PAGES = {451--539},
ISSN = {0706-1994},
MRCLASS = {46L35 (46L05 46L80)},
MRNUMBER = {4215380},
}
# Gong-Lin-Xue
@article {GongLinXue15,
AUTHOR = {Gong, Guihua and Lin, Huaxin and Xue, Yifeng},
TITLE = {Determinant rank of {$C^*$}-algebras},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {274},
YEAR = {2015},
NUMBER = {2},
PAGES = {405--436},
ISSN = {0030-8730},
MRCLASS = {46L06 (46L35 46L80)},
MRNUMBER = {3332910},
MRREVIEWER = {Claire Anantharaman-Delaroche},
DOI = {10.2140/pjm.2015.274.405},
URL = {https://doi.org/10.2140/pjm.2015.274.405},
}
# Goodearl
@book {Goodearlbook,
AUTHOR = {Goodearl, Kenneth R.},
TITLE = {Partially ordered abelian groups with interpolation},
SERIES = {Mathematical Surveys and Monographs},
VOLUME = {20},
PUBLISHER = {American Mathematical Society, Providence, RI},
YEAR = {1986},
PAGES = {xxii+336},
ISBN = {0-8218-1520-2},
MRCLASS = {06F20 (16A54 18F25 19K14 46A55 46L80)},
MRNUMBER = {845783},
MRREVIEWER = {G. A. Elliott},
DOI = {10.1090/surv/020},
URL = {https://doi.org/10.1090/surv/020},
}
# Guentner-Willett-Yu
@article{GuentnerWillettYu16,
title={Dynamical complexity and controlled operator {K}-theory},
author={Guentner, Erik and Willett, Rufus and Yu, Guoliang},
journal={arXiv:1609.02093},
year={2016}
}
### HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
# Haagerup
@article {Haagerup79I,
AUTHOR = {Haagerup, Uffe},
TITLE = {Operator-valued weights in von {N}eumann algebras. {I}},
JOURNAL = {J. Functional Analysis},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {32},
YEAR = {1979},
NUMBER = {2},
PAGES = {175--206},
ISSN = {0022-1236},
MRCLASS = {46L10 (46L50)},
MRNUMBER = {534673},
MRREVIEWER = {M.\ Takesaki},
DOI = {10.1016/0022-1236(79)90053-3},
URL = {https://doi.org/10.1016/0022-1236(79)90053-3},
}
@article {Haagerup79II,
AUTHOR = {Haagerup, Uffe},
TITLE = {Operator-valued weights in von {N}eumann algebras. {II}},
JOURNAL = {J. Functional Analysis},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {33},
YEAR = {1979},
NUMBER = {3},
PAGES = {339--361},
ISSN = {0022-1236},
MRCLASS = {46L10 (46L50)},
MRNUMBER = {549119},
MRREVIEWER = {M.\ Takesaki},
DOI = {10.1016/0022-1236(79)90072-7},
URL = {https://doi.org/10.1016/0022-1236(79)90072-7},
}
@article {Haagerup83,
AUTHOR = {Haagerup, Uffe},
TITLE = {All nuclear {C}*-algebras are amenable},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {74},
YEAR = {1983},
NUMBER = {2},
PAGES = {305--319},
ISSN = {0020-9910,1432-1297},
MRCLASS = {46L05},
MRNUMBER = {723220},
MRREVIEWER = {J.\ W.\ Bunce},
DOI = {10.1007/BF01394319},
URL = {https://doi.org/10.1007/BF01394319},
}
@article {Haagerup87,
AUTHOR = {Haagerup, Uffe},
TITLE = {{C}onnes' bicentralizer problem and uniqueness of the injective
factor of type {III}$_1$},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {158},
YEAR = {1987},
NUMBER = {1-2},
PAGES = {95--148},
ISSN = {0001-5962},
MRCLASS = {46L35},
MRNUMBER = {880070},
MRREVIEWER = {Steve Wright},
DOI = {10.1007/BF02392257},
URL = {https://doi.org/10.1007/BF02392257},
}
# Hall
@book {HallBook,
AUTHOR = {Hall, Brian},
TITLE = {Lie groups, {L}ie algebras, and representations},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {222},
EDITION = {Second},
NOTE = {An elementary introduction},
PUBLISHER = {Springer, Cham},
YEAR = {2015},
PAGES = {xiv+449},
ISBN = {978-3-319-13466-6; 978-3-319-13467-3},
MRCLASS = {22-01 (17-01)},
MRNUMBER = {3331229},
DOI = {10.1007/978-3-319-13467-3},
URL = {https://doi.org/10.1007/978-3-319-13467-3},
}
#Handelman
@article {Handelman78,
AUTHOR = {Handelman, David},
TITLE = {{$K_0$} of von {N}eumann and {AF} {C}*-algebras},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {29},
YEAR = {1978},
NUMBER = {116},
PAGES = {427--441},
ISSN = {0033-5606,1464-3847},
MRCLASS = {46L05},
MRNUMBER = {517736},
MRREVIEWER = {Mi-Soo\ Smith},
DOI = {10.1093/qmath/29.4.427},
URL = {https://doi.org/10.1093/qmath/29.4.427},
}
@article {Handelman79,
AUTHOR = {Handelman, David},
TITLE = {Stable range in {AW}* algebras},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {76},
YEAR = {1979},
NUMBER = {2},
PAGES = {241--249},
ISSN = {0002-9939,1088-6826},
MRCLASS = {46L10 (16A45)},
MRNUMBER = {537081},
MRREVIEWER = {Jean-Marie\ Schwartz},
DOI = {10.2307/2042996},
URL = {https://doi.org/10.2307/2042996},
}
# Handelman-Rossmann
@article {HandelmanRossmann84,
AUTHOR = {Handelman, David and Rossmann, Wulf},
TITLE = {Product type actions of finite and compact groups},
JOURNAL = {Indiana Univ. Math. J.},
FJOURNAL = {Indiana University Mathematics Journal},
VOLUME = {33},
YEAR = {1984},
NUMBER = {4},
PAGES = {479--509},
ISSN = {0022-2518,1943-5258},
MRCLASS = {46L80 (16A54 18F25 22D25 46L55 46M20)},
MRNUMBER = {749311},
MRREVIEWER = {Colin\ E.\ Sutherland},
DOI = {10.1512/iumj.1984.33.33026},
URL = {https://doi.org/10.1512/iumj.1984.33.33026},
}
@article {HandelmanRossmann85,
AUTHOR = {Handelman, David and Rossmann, Wulf},
TITLE = {Actions of compact groups on {AF} {C}*-algebras},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {29},
YEAR = {1985},
NUMBER = {1},
PAGES = {51--95},
ISSN = {0019-2082,1945-6581},
MRCLASS = {46L55 (22D25 46L80)},
MRNUMBER = {769758},
MRREVIEWER = {Thierry\ Fack},
URL = {http://projecteuclid.org/euclid.ijm/1256045841},
}
# Hartman-Kalantar
@article {HartmanKalantar23,
AUTHOR = {Hartman, Yair and Kalantar, Mehrdad},
TITLE = {Stationary {$C^*$}-dynamical systems},
NOTE = {With an appendix by Uri Bader, Hartman and Kalantar},
JOURNAL = {J. Eur. Math. Soc. (JEMS)},
FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
VOLUME = {25},
YEAR = {2023},
NUMBER = {5},
PAGES = {1783--1821},
ISSN = {1435-9855,1435-9863},
MRCLASS = {46L05 (20C07 37A55 46L35 46L55)},
MRNUMBER = {4592860},
MRREVIEWER = {Catalin\ Badea},
DOI = {10.4171/jems/1225},
URL = {https://doi.org/10.4171/jems/1225},
}
# Hatcher
@book {HatcherAT,
AUTHOR = {Hatcher, Allen},
TITLE = {Algebraic topology},
PUBLISHER = {Cambridge University Press, Cambridge},
YEAR = {2002},
PAGES = {xii+544},
ISBN = {0-521-79160-X; 0-521-79540-0},
MRCLASS = {55-01 (55-00)},
MRNUMBER = {1867354},
MRREVIEWER = {Donald\ W.\ Kahn},
}
# Hatori-Molnar
@article {HatoriMolnar14,
AUTHOR = {Hatori, Osamu and Moln\'{a}r, Lajos},
TITLE = {Isometries of the unitary groups and {T}hompson isometries of
the spaces of invertible positive elements in
{C}*-algebras},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {409},
YEAR = {2014},
NUMBER = {1},
PAGES = {158--167},
ISSN = {0022-247X},
MRCLASS = {46L05},
MRNUMBER = {3095026},
MRREVIEWER = {Yangping Jing},
DOI = {10.1016/j.jmaa.2013.06.065},
URL = {https://doi.org/10.1016/j.jmaa.2013.06.065},
}
# Herman-Ocneanu
@article {HermanOcneanu84,
AUTHOR = {Herman, Richard H. and Ocneanu, Adrian},
TITLE = {Stability for integer actions on {UHF} {C}*-algebras},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {59},
YEAR = {1984},
NUMBER = {1},
PAGES = {132--144},
ISSN = {0022-1236},
MRCLASS = {46L40},
MRNUMBER = {763780},
MRREVIEWER = {Michel Hilsum},
DOI = {10.1016/0022-1236(84)90056-9},
URL = {https://doi.org/10.1016/0022-1236(84)90056-9},
}
# Higson
@article {Higson88,
AUTHOR = {Higson, Nigel},
TITLE = {Algebraic {K}-theory of stable {C}*-algebras},
JOURNAL = {Adv. in Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {67},
YEAR = {1988},
NUMBER = {1},
PAGES = {140},
ISSN = {0001-8708},
MRCLASS = {46L80 (19K14 46M20)},
MRNUMBER = {922140},
MRREVIEWER = {Cornel Pasnicu},
DOI = {10.1016/0001-8708(88)90034-5},
URL = {https://doi.org/10.1016/0001-8708(88)90034-5},
}
# Hirshberg-Rordam-Winter
@article {HirshbergRordamWinter07,
AUTHOR = {Hirshberg, Ilan and R{\o}rdam, Mikael and Winter, Wilhelm},
TITLE = {$\mathcal{C}_0({X})$-algebras, stability and strongly self-absorbing {C}*-algebras},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {339},
YEAR = {2007},
NUMBER = {3},
PAGES = {695--732},
ISSN = {0025-5831},
MRCLASS = {46L05 (47L40)},
MRNUMBER = {2336064},
MRREVIEWER = {Hua Xin Lin},
DOI = {10.1007/s00208-007-0129-8},
URL = {https://doi.org/10.1007/s00208-007-0129-8},
}
# Hirshberg-Orovitz
@article {HirshbergOrovitz13,
AUTHOR = {Hirshberg, Ilan and Orovitz, Joav},
TITLE = {Tracially $\mathcal{Z}$-absorbing {C}*-algebras},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {265},
YEAR = {2013},
NUMBER = {5},
PAGES = {765--785},
ISSN = {0022-1236},
MRCLASS = {46L05},
MRNUMBER = {3063095},
MRREVIEWER = {Stuart A. White},
DOI = {10.1016/j.jfa.2013.05.005},
URL = {https://doi.org/10.1016/j.jfa.2013.05.005},
}
# Hirshberg-Winter
@article {HirshbergWinter07,
AUTHOR = {Hirshberg, Ilan and Winter, Wilhelm},
TITLE = {{R}okhlin actions and self-absorbing {C}*-algebras},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {233},
YEAR = {2007},
NUMBER = {1},
PAGES = {125--143},
ISSN = {0030-8730},
MRCLASS = {46L05 (46L55)},
MRNUMBER = {2366371},
MRREVIEWER = {Efren Ruiz},
DOI = {10.2140/pjm.2007.233.125},
URL = {https://doi.org/10.2140/pjm.2007.233.125},
}
@article {HirshbergWinter08,
AUTHOR = {Hirshberg, Ilan and Winter, Wilhelm},
TITLE = {Permutations of strongly self-absorbing {C}*-algebras},
JOURNAL = {Internat. J. Math.},
FJOURNAL = {International Journal of Mathematics},
VOLUME = {19},
YEAR = {2008},
NUMBER = {9},
PAGES = {1137--1145},
ISSN = {0129-167X},
MRCLASS = {46L05 (46L45 46L55)},
MRNUMBER = {2458564},
MRREVIEWER = {Yoshikazu Katayama},
DOI = {10.1142/S0129167X08005011},
URL = {https://doi.org/10.1142/S0129167X08005011},
}
# Hoschs, Kaad, Schemaitat
@article {HochsKaadSchemaitat18,
AUTHOR = {Hochs, Peter and Kaad, Jens and Schemaitat, Andr\'{e}},
TITLE = {Algebraic {$K$}-theory and a semifinite {F}uglede-{K}adison
determinant},
JOURNAL = {Ann. K-Theory},
FJOURNAL = {Annals of K-Theory},
VOLUME = {3},
YEAR = {2018},
NUMBER = {2},
PAGES = {193--206},
ISSN = {2379-1683,2379-1691},
MRCLASS = {46L80},
MRNUMBER = {3781426},
MRREVIEWER = {Christopher\ Jack\ Bourne},
DOI = {10.2140/akt.2018.3.193},
URL = {https://doi.org/10.2140/akt.2018.3.193},
}
# Husemoller
@book {Husemoller66,
AUTHOR = {Husemoller, Dale},
TITLE = {Fibre bundles},
PUBLISHER = {McGraw-Hill Book Co., New York-London-Sydney},
YEAR = {1966},
PAGES = {xiv+300},
MRCLASS = {57.30 (55.00)},
MRNUMBER = {0229247},
MRREVIEWER = {R. Williamson},
}
# Hurewicz-Wallman
@book {HurewiczWallman,
AUTHOR = {Hurewicz, Witold and Wallman, Henry},
TITLE = {Dimension theory},
SERIES = {Princeton Mathematical Series, vol. 4},
PUBLISHER = {Princeton University Press, Princeton, N. J.},
YEAR = {1941},
PAGES = {vii+165},
MRCLASS = {56.0X},
MRNUMBER = {0006493},
MRREVIEWER = {H. Whitney},
}
### IIIIIIIIIIIIIIIIIIIIIIIIIIIIII
# Ioana
@article {Ioana07,
AUTHOR = {Ioana, Adrian},
TITLE = {A relative version of {C}onnes' {$\chi(M)$} invariant and
existence of orbit inequivalent actions},
JOURNAL = {Ergodic Theory Dynam. Systems},
FJOURNAL = {Ergodic Theory and Dynamical Systems},
VOLUME = {27},
YEAR = {2007},
NUMBER = {4},
PAGES = {1199--1213},
ISSN = {0143-3857,1469-4417},
MRCLASS = {37A20 (28D15 46L10 46L55 47A15)},
MRNUMBER = {2342972},
MRREVIEWER = {Alain\ Valette},
DOI = {10.1017/S0143385706000666},
URL = {https://doi.org/10.1017/S0143385706000666},
}
# Ivanescu-Kucerovsky
@article{IvanescuKucerovsky23,
title={Villadsen algebras},
author={Cristian Ivanescu and Dan Kucerovsky},
year={2023},
eprint={2306.03943},
archivePrefix={arXiv},
primaryClass={math.OA},
NOTE={preprint},
}
# Izumi
@article{Izumi02,
title={Inclusions of simple {C}*-algebras},
author={Izumi, Masaki},
year={2002},
volume = {547},
pages = {97--138},
journal = {J. Reine Angew. Math.},
publisher={Walter de Gruyter GmbH \& Co. KG Berlin, Germany},
}
@article {Izumi04,
AUTHOR = {Izumi, Masaki},
TITLE = {Finite group actions on {C}*-algebras with the {R}ohlin property. {I}},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {122},
YEAR = {2004},
NUMBER = {2},
PAGES = {233--280},
ISSN = {0012-7094},
MRCLASS = {46L55 (19K35 46L35 46L40 46L80)},
MRNUMBER = {2053753},
MRREVIEWER = {Valentin Deaconu},
DOI = {10.1215/S0012-7094-04-12221-3},
URL = {https://doi.org/10.1215/S0012-7094-04-12221-3},
}
### JJJJJJJJJJJJJJJJJJJJJ
# Jiang
@article{Jiang97,
title={Nonstable {K}-theory for $\mathcal{Z}$-stable {C}*-algebras},
author={Jiang, Xinhui},
journal={arXiv preprint math/9707228},
year={1997}
}
# Jiang-Su
@article {JiangSu99,
AUTHOR = {Jiang, Xinhui and Su, Hongbing},
TITLE = {On a simple unital projectionless {C}*-algebra},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {121},
YEAR = {1999},
NUMBER = {2},
PAGES = {359--413},
ISSN = {0002-9327},
MRCLASS = {46L35 (19K35 46L80)},
MRNUMBER = {1680321},
MRREVIEWER = {Vicumpriya S. Perera},
URL =
{http://muse.jhu.edu/journals/american_journal_of_mathematics/v121/121.2jiang.pdf},
}
#Jolissaint
@article{Jolissaint16,
AUTHOR = {Jolissaint, Paul},
TITLE = {Relative inner amenability and relative property gamma},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {119},
YEAR = {2016},
NUMBER = {2},
PAGES = {293--319},
ISSN = {0025-5521},
MRCLASS = {22D25 (22D10 22F05 43A07 46L37)},
MRNUMBER = {3570949},
MRREVIEWER = {Jonathan M. Rosenberg},
DOI = {10.7146/math.scand.a-24748},
URL = {https://doi.org/10.7146/math.scand.a-24748},
}
#Jones
@incollection {Jones79,
AUTHOR = {Jones, Vaughan F. R.},
TITLE = {An invariant for group actions},
BOOKTITLE = {Alg\`ebres d'op\'{e}rateurs ({S}\'{e}m., {L}es
{P}lans-sur-{B}ex, 1978)},
SERIES = {Lecture Notes in Math.},
VOLUME = {725},
PAGES = {237--253},
PUBLISHER = {Springer, Berlin},
YEAR = {1979},
ISBN = {3-540-09512-8},
MRCLASS = {46L10 (46M20)},
MRNUMBER = {548118},
MRREVIEWER = {Alain\ Connes},
}
@article {Jones80finite,
AUTHOR = {Jones, Vaughan F. R.},
TITLE = {Actions of finite groups on the hyperfinite type {II}$_1$ factor},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {28},
YEAR = {1980},
NUMBER = {237},
PAGES = {v+70},
ISSN = {0065-9266,1947-6221},
MRCLASS = {46L55 (20C99 46L40)},
MRNUMBER = {587749},
MRREVIEWER = {Marie\ Choda},
DOI = {10.1090/memo/0237},
URL = {https://doi.org/10.1090/memo/0237},
}
@article {Jones80anti,
AUTHOR = {Jones, Vaughan F. R.},
TITLE = {A {${\rm II}\sb{1}$} factor anti-isomorphic to itself but
without involutory antiautomorphisms},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {46},
YEAR = {1980},
NUMBER = {1},
PAGES = {103--117},
ISSN = {0025-5521,1903-1807},
MRCLASS = {46L35},
MRNUMBER = {585235},
MRREVIEWER = {J.\ W.\ Bunce},
DOI = {10.7146/math.scand.a-11855},
URL = {https://doi.org/10.7146/math.scand.a-11855},
}
### KKKKKKKKKKKKKKKKKKKKKKKKK
# Kadison-Ringrose
@book {KadisonRingroseII,
AUTHOR = {Kadison, Richard V. and Ringrose, John R.},
TITLE = {Fundamentals of the theory of operator algebras. {V}ol. {II}},
SERIES = {Pure and Applied Mathematics},
VOLUME = {100},
NOTE = {Advanced theory},
PUBLISHER = {Academic Press, Inc., Orlando, FL},
YEAR = {1986},
PAGES = {i--xiv and 399--1074},
ISBN = {0-12-393302-1},
MRCLASS = {46Lxx (46-01 46-02 47-01)},
MRNUMBER = {859186},
MRREVIEWER = {Robert\ S.\ Doran},
DOI = {10.1016/S0079-8169(08)60611-X},
URL = {https://doi.org/10.1016/S0079-8169(08)60611-X},
}
# Kalantar-Kennedy
@article {KalantarKennedy17,
AUTHOR = {Kalantar, Mehrdad and Kennedy, Matthew},
TITLE = {Boundaries of reduced {$C^*$}-algebras of discrete groups},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {727},
YEAR = {2017},
PAGES = {247--267},
ISSN = {0075-4102,1435-5345},
MRCLASS = {22D15 (20F67 22F05 46L10)},
MRNUMBER = {3652252},
MRREVIEWER = {Fernando\ Abadie},
DOI = {10.1515/crelle-2014-0111},
URL = {https://doi.org/10.1515/crelle-2014-0111},
}
# Kawahigashi
@article {Kawahigashi93,
AUTHOR = {Kawahigashi, Yasuyuki},
TITLE = {Centrally trivial automorphisms and an analogue of {C}onnes's
{$\chi(M)$} for subfactors},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {71},
YEAR = {1993},
NUMBER = {1},
PAGES = {93--118},
ISSN = {0012-7094,1547-7398},
MRCLASS = {46L40 (46L37)},
MRNUMBER = {1230287},
MRREVIEWER = {V.\ S.\ Sunder},
DOI = {10.1215/S0012-7094-93-07105-0},
URL = {https://doi.org/10.1215/S0012-7094-93-07105-0},
}
# Kawahigashi-Sutherland-Takesaki
@article {KawahigashiSutherlandTakesaki92,
AUTHOR = {Kawahigashi, Y. and Sutherland, C. E. and Takesaki, M.},
TITLE = {The structure of the automorphism group of an injective factor
and the cocycle conjugacy of discrete abelian group actions},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {169},
YEAR = {1992},
NUMBER = {1-2},
PAGES = {105--130},
ISSN = {0001-5962,1871-2509},
MRCLASS = {46L40},
MRNUMBER = {1179014},
MRREVIEWER = {Yoshikazu\ Katayama},
DOI = {10.1007/BF02392758},
URL = {https://doi.org/10.1007/BF02392758},
}
# Kawamuro
@article {Kawamuro99,
AUTHOR = {Kawamuro, Keiko},
TITLE = {Central sequence subfactors and double commutant properties},
JOURNAL = {Internat. J. Math.},
FJOURNAL = {International Journal of Mathematics},
VOLUME = {10},
YEAR = {1999},
NUMBER = {1},
PAGES = {53--77},
ISSN = {0129-167X},
MRCLASS = {46L37},
MRNUMBER = {1678538},
MRREVIEWER = {Carl Winsl{\o}w},
DOI = {10.1142/S0129167X99000033},
URL = {https://doi.org/10.1142/S0129167X99000033},
}
# Kennedy
@article {Kennedy20,
AUTHOR = {Kennedy, Matthew},
TITLE = {An intrinsic characterization of {$C^*$}-simplicity},
JOURNAL = {Ann. Sci. \'Ec. Norm. Sup\'er. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {53},
YEAR = {2020},
NUMBER = {5},
PAGES = {1105--1119},
ISSN = {0012-9593,1873-2151},
MRCLASS = {20E07 (20C07 37A55 43A07 46L35)},
MRNUMBER = {4174855},
MRREVIEWER = {Sergey\ V.\ Ludkowski},
DOI = {10.24033/asens.2441},
URL = {https://doi.org/10.24033/asens.2441},
}
# Kennedy-Schafhauser
@article {KennedySchafhauser19,
AUTHOR = {Kennedy, Matthew and Schafhauser, Christopher},
TITLE = {Noncommutative boundaries and the ideal structure of reduced
crossed products},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {168},
YEAR = {2019},
NUMBER = {17},
PAGES = {3215--3260},
ISSN = {0012-7094,1547-7398},
MRCLASS = {46L35 (43A65 47L65)},
MRNUMBER = {4030364},
DOI = {10.1215/00127094-2019-0032},
URL = {https://doi.org/10.1215/00127094-2019-0032},
}
# Kennedy-Shamovich
@article {KennedyShamovich22,
AUTHOR = {Kennedy, Matthew and Shamovich, Eli},
TITLE = {Noncommutative {C}hoquet simplices},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {382},
YEAR = {2022},
NUMBER = {3-4},
PAGES = {1591--1629},
ISSN = {0025-5831,1432-1807},
MRCLASS = {46A55 (46L07 46L52 47A20 47L25)},
MRNUMBER = {4403230},
MRREVIEWER = {Andrey\ I.\ Zahariev},
DOI = {10.1007/s00208-021-02261-z},
URL = {https://doi.org/10.1007/s00208-021-02261-z},
}
# Kennedy-Ursu
@article{KennedyUrsu24,
title={Intermediate subalgebras for reduced crossed products of discrete groups},
author={Kennedy, Matthew and Ursu, Dan},
journal={arXiv preprint arXiv:2406.01546},
year={2024}
}
# Kerr
@article {Kerr20,
AUTHOR = {Kerr, David},
TITLE = {Dimension, comparison, and almost finiteness},
JOURNAL = {J. Eur. Math. Soc. (JEMS)},
FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
VOLUME = {22},
YEAR = {2020},
NUMBER = {11},
PAGES = {3697--3745},
ISSN = {1435-9855,1435-9863},
MRCLASS = {37A55 (37A20 46L35 46L55)},
MRNUMBER = {4167017},
MRREVIEWER = {Bruno\ Brogni\ Uggioni},
DOI = {10.4171/jems/995},
URL = {https://doi.org/10.4171/jems/995},
}
# Kervaire
@Inbook{Kervaire70,
author="Kervaire, Michel A.",
title="Multiplicateurs de Schur et K-th{\'e}orie",
bookTitle="Essays on Topology and Related Topics: Memoires d{\'e}di{\'e}s {\`a} Georges de Rham",
year="1970",
publisher="Springer Berlin Heidelberg",
address="Berlin, Heidelberg",
pages="212--225",
abstract="L'objet de cet article est de montrer que le groupe K2($\Lambda$) introduit par J. Milnor [3] s'interpr{\`e}te comme le multiplicateur de Schur (cf. [4]) du sous-groupe E($\Lambda$) de GL($\Lambda$) engendr{\'e} par les matrices {\'e}l{\'e}mentaires.",
isbn="978-3-642-49197-9",
doi="10.1007/978-3-642-49197-9_19",
url="https://doi.org/10.1007/978-3-642-49197-9_19"
}
# Kirchberg
@inproceedings {Kirchberg95,
AUTHOR = {Kirchberg, Eberhard},
TITLE = {Exact {${\rm C}^*$}-algebras, tensor products, and the
classification of purely infinite algebras},
BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians, {V}ol. 1, 2 ({Z}\"{u}rich, 1994)},
PAGES = {943--954},
PUBLISHER = {Birkh\"{a}user, Basel},
YEAR = {1995},
ISBN = {3-7643-5153-5},
MRCLASS = {46L05 (46L35 46M05 46M15)},
MRNUMBER = {1403994},
MRREVIEWER = {Robert\ S.\ Doran},
}
@incollection {Kirchberg06,
AUTHOR = {Kirchberg, Eberhard},
TITLE = {Central sequences in {C}*-algebras and strongly purely
infinite algebras},
BOOKTITLE = {Operator {A}lgebras: {T}he {A}bel {S}ymposium 2004},
SERIES = {Abel Symp.},
VOLUME = {1},
PAGES = {175--231},
PUBLISHER = {Springer, Berlin},
YEAR = {2006},
MRCLASS = {46L05},
MRNUMBER = {2265050},
MRREVIEWER = {Wilhelm Winter},
DOI = {10.1007/978-3-540-34197-0\_10},
URL = {https://doi.org/10.1007/978-3-540-34197-0_10},
}
# Kirchberg-Phillips
@article {KirchbergPhillips00,
AUTHOR = {Kirchberg, Eberhard and Phillips, N. Christopher},
TITLE = {Embedding of exact {C}*-algebras in the {C}untz algebra $\mathcal{O}_2$},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {525},
YEAR = {2000},
PAGES = {17--53},
ISSN = {0075-4102},
MRCLASS = {46L05 (19K56 46L35 46L80)},
MRNUMBER = {1780426},
MRREVIEWER = {Mikael R{\o}rdam},
DOI = {10.1515/crll.2000.065},
URL = {https://doi.org/10.1515/crll.2000.065},
}
# Kirchberg-Wassermann
@article {KirchbergWassermann99a,
AUTHOR = {Kirchberg, Eberhard and Wassermann, Simon},
TITLE = {Exact groups and continuous bundles of {C}*-algebras},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {315},
YEAR = {1999},
NUMBER = {2},
PAGES = {169--203},
ISSN = {0025-5831,1432-1807},
MRCLASS = {46L05 (22D05 46M20)},
MRNUMBER = {1721796},
MRREVIEWER = {Michael\ Frank},
DOI = {10.1007/s002080050364},
URL = {https://doi.org/10.1007/s002080050364},
}
@article {KirchbergWassermann99b,
AUTHOR = {Kirchberg, Eberhard and Wassermann, Simon},
TITLE = {Permanence properties of {C}*-exact groups},
JOURNAL = {Doc. Math.},
FJOURNAL = {Documenta Mathematica},
VOLUME = {4},
YEAR = {1999},
PAGES = {513--558},
ISSN = {1431-0635,1431-0643},
MRCLASS = {46L05 (22D05 46L80)},
MRNUMBER = {1725812},
MRREVIEWER = {Erik\ B\'{e}dos},
}
# Kishimoto
@article {Kishimoto00,
AUTHOR = {Kishimoto, A.},
TITLE = {{R}ohlin property for shift automorphisms},
JOURNAL = {Rev. Math. Phys.},
FJOURNAL = {Reviews in Mathematical Physics. A Journal for Both Review and
Original Research Papers in the Field of Mathematical Physics},
VOLUME = {12},
YEAR = {2000},
NUMBER = {7},
PAGES = {965--980},
ISSN = {0129-055X},
MRCLASS = {46L40 (46L05 46L55)},
MRNUMBER = {1782691},
MRREVIEWER = {Claire Anantharaman-Delaroche},
DOI = {10.1142/S0129055X00000368},
URL = {https://doi.org/10.1142/S0129055X00000368},
}
# Kuiper
@article {Kuiper65,
AUTHOR = {Kuiper, Nicolaas H.},
TITLE = {The homotopy type of the unitary group of {H}ilbert space},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {3},
YEAR = {1965},
PAGES = {19--30},
ISSN = {0040-9383},
MRCLASS = {55.40},
MRNUMBER = {179792},
MRREVIEWER = {R.\ S.\ Palais},
DOI = {10.1016/0040-9383(65)90067-4},
URL = {https://doi.org/10.1016/0040-9383(65)90067-4},
}
# Kumjian
@article {Kumjian88,
AUTHOR = {Kumjian, Alexander},
TITLE = {An involutive automorphism of the {B}unce-{D}eddens algebra},
JOURNAL = {C. R. Math. Rep. Acad. Sci. Canada},
FJOURNAL = {La Soci\'{e}t\'{e} Royale du Canada. L'Academie des Sciences. Comptes
Rendus Math\'{e}matiques. (Mathematical Reports)},
VOLUME = {10},
YEAR = {1988},
NUMBER = {5},
PAGES = {217--218},
ISSN = {0706-1994},
MRCLASS = {46L05 (46L80)},
MRNUMBER = {962104},
MRREVIEWER = {J. W. Bunce},
}
### LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
# Lee-Osaka
@article{LeeOsaka23,
title={On permanence of regularity properties},
author={Lee, Hyun Ho and Osaka, Hiroyuki},
journal={Journal of Topology and Analysis},
year={2023},
publisher={World Scientific}
}
# Luck-Rordam
@article {LuckRordam93,
AUTHOR = {L\"{u}ck, Wolfgang and R{\o}rdam, Mikael},
TITLE = {Algebraic {K}-theory of von {N}eumann algebras},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {7},
YEAR = {1993},
NUMBER = {6},
PAGES = {517--536},
ISSN = {0920-3036},
MRCLASS = {46L80 (19B28 19J10 19K56 19K99)},
MRNUMBER = {1268591},
MRREVIEWER = {Jonathan M. Rosenberg},
DOI = {10.1007/BF00961216},
URL = {https://doi.org/10.1007/BF00961216},
}
### MMMMMMMMMMMMMMMMMMMMMMM
# Ma
@article {Ma21,
AUTHOR = {Ma, Xin},
TITLE = {A generalized type semigroup and dynamical comparison},
JOURNAL = {Ergodic Theory Dynam. Systems},
FJOURNAL = {Ergodic Theory and Dynamical Systems},
VOLUME = {41},
YEAR = {2021},
NUMBER = {7},
PAGES = {2148--2165},
ISSN = {0143-3857,1469-4417},
MRCLASS = {37B05 (46L55)},
MRNUMBER = {4266367},
MRREVIEWER = {Geoffrey\ Price},
DOI = {10.1017/etds.2020.28},
URL = {https://doi.org/10.1017/etds.2020.28},
}
# Maclane
@book {Maclane12,
AUTHOR = {MacLane, Saunders},
TITLE = {Homology},
SERIES = {Die Grundlehren der mathematischen Wissenschaften, Band 114},
EDITION = {first},
PUBLISHER = {Springer-Verlag, Berlin-New York},
YEAR = {1967},
PAGES = {x+422},
MRCLASS = {18-02},
MRNUMBER = {0349792},
}
#Manor
@article {Manor21,
AUTHOR = {Manor, Nicholas},
TITLE = {Exactness versus {C}*-exactness for certain
non-discrete groups},
JOURNAL = {Integral Equations Operator Theory},
FJOURNAL = {Integral Equations and Operator Theory},
VOLUME = {93},
YEAR = {2021},
NUMBER = {3},
PAGES = {Paper No. 20, 13},
ISSN = {0378-620X,1420-8989},
MRCLASS = {22D25 (46L06)},
MRNUMBER = {4249041},
MRREVIEWER = {Vladimir\ Manuilov},
DOI = {10.1007/s00020-021-02634-8},
URL = {https://doi.org/10.1007/s00020-021-02634-8},
}
# Marcoux
@article {Marcoux06,
AUTHOR = {Marcoux, Laurent W.},
TITLE = {Sums of small number of commutators},
JOURNAL = {J. Operator Theory},
FJOURNAL = {Journal of Operator Theory},
VOLUME = {56},
YEAR = {2006},
NUMBER = {1},
PAGES = {111--142},
ISSN = {0379-4024,1841-7744},
MRCLASS = {46L05 (46L30 47B47)},
MRNUMBER = {2261614},
MRREVIEWER = {Steffen\ Roch},
}
# Marcoux-Popov
@article {MarcouxPopov16,
AUTHOR = {Marcoux, Laurent W. and Popov, Alexey I.},
TITLE = {Abelian, amenable operator algebras are similar to
{C}*-algebras},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {165},
YEAR = {2016},
NUMBER = {12},
PAGES = {2391--2406},
ISSN = {0012-7094,1547-7398},
MRCLASS = {46J05 (47L10 47L30)},
MRNUMBER = {3544284},
MRREVIEWER = {Damon\ Martin\ Hay},
DOI = {10.1215/00127094-3619791},
URL = {https://doi.org/10.1215/00127094-3619791},
}
# Matui-Sato
@article {MatuiSato12,
AUTHOR = {Matui, Hiroki and Sato, Yasuhiko},
TITLE = {Strict comparison and $\mathcal{Z}$-absorption of nuclear {C}*-algebras},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {209},
YEAR = {2012},
NUMBER = {1},
PAGES = {179--196},
ISSN = {0001-5962},
MRCLASS = {46L05},
MRNUMBER = {2979512},
MRREVIEWER = {Caleb Eckhardt},
DOI = {10.1007/s11511-012-0084-4},
URL = {https://doi.org/10.1007/s11511-012-0084-4},
}
#McDuff
@article {McDuff69,
AUTHOR = {McDuff, Dusa},
TITLE = {Uncountably many {II}$_1$ factors},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {90},
YEAR = {1969},
PAGES = {372--377},
ISSN = {0003-486X},
MRCLASS = {46.65},
MRNUMBER = {259625},
MRREVIEWER = {Z. Takeda},
DOI = {10.2307/1970730},
URL = {https://doi.org/10.2307/1970730},
}
@article {McDuff70,
AUTHOR = {McDuff, Dusa},
TITLE = {Central sequences and the hyperfinite factor},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {21},
YEAR = {1970},
PAGES = {443--461},
ISSN = {0024-6115},
MRCLASS = {46.65},
MRNUMBER = {281018},
MRREVIEWER = {M. Takesaki},
DOI = {10.1112/plms/s3-21.3.443},
URL = {https://doi.org/10.1112/plms/s3-21.3.443},
}
# Munkres
@book {Munkres,
AUTHOR = {Munkres, James R.},
TITLE = {Topology},
NOTE = {Second edition of [ MR0464128]},
PUBLISHER = {Prentice Hall, Inc., Upper Saddle River, NJ},
YEAR = {2000},
PAGES = {xvi+537},
ISBN = {0-13-181629-2},
MRCLASS = {54-01},
MRNUMBER = {3728284},
}
# Murphy
@book {Murphybook,
AUTHOR = {Murphy, Gerard J.},
TITLE = {{C}*-algebras and operator theory},
PUBLISHER = {Academic Press, Inc., Boston, MA},
YEAR = {1990},
PAGES = {x+286},
ISBN = {0-12-511360-9},
MRCLASS = {46Lxx (46-01)},
MRNUMBER = {1074574},
MRREVIEWER = {E. Gerlach},
}
# Murray-von Neumann
@article {MvNI,
AUTHOR = {Murray, Francis J. and von Neumann, John},
TITLE = {On rings of operators},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {37},
YEAR = {1936},
NUMBER = {1},
PAGES = {116--229},
ISSN = {0003-486X,1939-8980},
MRCLASS = {99-04},
MRNUMBER = {1503275},
DOI = {10.2307/1968693},
URL = {https://doi.org/10.2307/1968693},
}
@article {MvNIV,
AUTHOR = {Murray, Francis J. and von Neumann, John},
TITLE = {On rings of operators. {IV}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {44},
YEAR = {1943},
PAGES = {716--808},
ISSN = {0003-486X},
MRCLASS = {46.0X},
MRNUMBER = {9096},
MRREVIEWER = {E. R. Lorch},
DOI = {10.2307/1969107},
URL = {https://doi.org/10.2307/1969107},
}
# Mygind
@article{Mygind01,
title={Classification of certain simple {C}*-algebras with torsion in {K}1},
author={Mygind, Jesper},
journal={Canadian Journal of Mathematics},
volume={53},
number={6},
pages={1223--1308},
year={2001},
publisher={Cambridge University Press}
}
@article {MR1863849,
AUTHOR = {Mygind, Jesper},
TITLE = {Classification of certain simple {C}*-algebras with torsion in {$K_1$}},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques},
VOLUME = {53},
YEAR = {2001},
NUMBER = {6},
PAGES = {1223--1308},
ISSN = {0008-414X},
MRCLASS = {46L05 (19K14 46L80)},
MRNUMBER = {1863849},
MRREVIEWER = {Xiao Chun Fang},
DOI = {10.4153/CJM-2001-046-2},
URL = {https://doi.org/10.4153/CJM-2001-046-2},
}
### NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN
# Nakamura
@article {Nakamura54,
AUTHOR = {Nakamura, Masahiro},
TITLE = {On the direct product of finite factors},
JOURNAL = {Tohoku Math. J. (2)},
FJOURNAL = {The Tohoku Mathematical Journal. Second Series},
VOLUME = {6},
YEAR = {1954},
PAGES = {205--207},
ISSN = {0040-8735,2186-585X},
MRCLASS = {46.0X},
MRNUMBER = {70065},
MRREVIEWER = {I.\ E.\ Segal},
DOI = {10.2748/tmj/1178245180},
URL = {https://doi.org/10.2748/tmj/1178245180},
}
# Ng
@article {Ng06,
AUTHOR = {Ng, Ping W.},
TITLE = {Amenability of the sequence of unitary groups associated with
a {$C^*$}-algebra},
JOURNAL = {Indiana Univ. Math. J.},
FJOURNAL = {Indiana University Mathematics Journal},
VOLUME = {55},
YEAR = {2006},
NUMBER = {4},
PAGES = {1389--1400},
ISSN = {0022-2518,1943-5258},
MRCLASS = {46L05 (43A07)},
MRNUMBER = {2269417},
MRREVIEWER = {A.\ G.\ Myasnikov},
DOI = {10.1512/iumj.2006.55.2791},
URL = {https://doi.org/10.1512/iumj.2006.55.2791},
}
@article {Ng14,
AUTHOR = {Ng, Ping W.},
TITLE = {The kernel of the determinant map on certain simple {C}*-algebras},
JOURNAL = {J. Operator Theory},
FJOURNAL = {Journal of Operator Theory},
VOLUME = {71},
YEAR = {2014},
NUMBER = {2},
PAGES = {341--379},
ISSN = {0379-4024},
MRCLASS = {46L05 (46L80 47B47 47C15)},
MRNUMBER = {3214642},
MRREVIEWER = {Takahiro Sudo},
DOI = {10.7900/jot.2012apr01.1953},
URL = {https://doi.org/10.7900/jot.2012apr01.1953},
}
# Ng-Robert
@article {NgRobert16,
AUTHOR = {Ng, Ping W. and Robert, Leonel},
TITLE = {Sums of commutators in pure {C}*-algebras},
JOURNAL = {M\"{u}nster J. Math.},
FJOURNAL = {M\"{u}nszter Journal of Mathematics},
VOLUME = {9},
YEAR = {2016},
NUMBER = {1},
PAGES = {121--154},
ISSN = {1867-5778,1867-5786},
MRCLASS = {46L05 (46L35 46L57 47B47)},
MRNUMBER = {3549546},
MRREVIEWER = {Bojan\ P.\ Magajna},
DOI = {10.17879/35209721075},
URL = {https://doi.org/10.17879/35209721075},
}
@article {NgRobert17,
AUTHOR = {Ng, Ping W. and Robert, Leonel},
TITLE = {The kernel of the determinant map on pure {C}*-algebras},
JOURNAL = {Houston J. Math.},
FJOURNAL = {Houston Journal of Mathematics},
VOLUME = {43},
YEAR = {2017},
NUMBER = {1},
PAGES = {139--168},
ISSN = {0362-1588},
MRCLASS = {46L05 (46L35)},
MRNUMBER = {3647937},
MRREVIEWER = {Daniele Puglisi},
DOI = {10.1007/s11139-016-9879-9},
URL = {https://doi.org/10.1007/s11139-016-9879-9},
}
# Nielsen-Thomsen
@article {NielsenThomsen96,
AUTHOR = {Nielsen, Karen E. and Thomsen, Klaus},
TITLE = {Limits of circle algebras},
JOURNAL = {Exposition. Math.},
FJOURNAL = {Expositiones Mathematicae. International Journal},
VOLUME = {14},
YEAR = {1996},
NUMBER = {1},
PAGES = {17--56},
ISSN = {0723-0869},
MRCLASS = {46L80 (19K14 46L05)},
MRNUMBER = {1382013},
MRREVIEWER = {Sze-Kai Tsui},
}
### OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
@book {Ocneanu85,
AUTHOR = {Ocneanu, Adrian},
TITLE = {Actions of discrete amenable groups on von {N}eumann algebras},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1138},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {1985},
PAGES = {iv+115},
ISBN = {3-540-15663-1},
MRCLASS = {46L55 (46L35 46L40)},
MRNUMBER = {807949},
MRREVIEWER = {Hisashi\ Choda},
DOI = {10.1007/BFb0098579},
URL = {https://doi.org/10.1007/BFb0098579},
}
@article {OsakaTeruya18,
AUTHOR = {Osaka, Hiroyuki and Teruya, Tamotsu},
TITLE = {The {J}iang--{S}u absorption for inclusions of unital {C}*-algebras},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques},
VOLUME = {70},
YEAR = {2018},
NUMBER = {2},
PAGES = {400--425},
ISSN = {0008-414X},
MRCLASS = {46L55 (46L35)},
MRNUMBER = {3759005},
MRREVIEWER = {Daniele Puglisi},
DOI = {10.4153/CJM-2017-033-7},
URL = {https://doi.org/10.4153/CJM-2017-033-7},
}
# Ozawa
@article {Ozawa13,
AUTHOR = {Ozawa, Narutaka},
TITLE = {{D}ixmier approximation and symmetric amenability for {C}*-algebras},
JOURNAL = {J. Math. Sci. Univ. Tokyo},
FJOURNAL = {The University of Tokyo. Journal of Mathematical Sciences},
VOLUME = {20},
YEAR = {2013},
NUMBER = {3},
PAGES = {349--374},
ISSN = {1340-5705},
MRCLASS = {46L05 (46L10)},
MRNUMBER = {3156986},
MRREVIEWER = {William Paschke},
}
@article{Ozawa23,
title={Amenability for unitary groups of simple monotracial {C}*-algebras},
author={Ozawa, Narutaka},
journal={arXiv:2307.08267},
year={2023}
}
### PPPPPPPPPPPPPPPPPPPPPPP
# Paterson
@article{Paterson83,
AUTHOR = {Paterson, Alan L. T.},
TITLE = {Harmonic analysis on unitary groups},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {53},
YEAR = {1983},
NUMBER = {3},
PAGES = {203--223},
ISSN = {0022-1236},
MRCLASS = {22D10 (22D25 43A65 46L05)},
MRNUMBER = {724026},
MRREVIEWER = {J. Gil de Lamadrid},
DOI = {10.1016/0022-1236(83)90031-9},
URL = {https://doi.org/10.1016/0022-1236(83)90031-9},
}
@article {Paterson92,
AUTHOR = {Paterson, Alan L. T.},
TITLE = {Nuclear {C}*-algebras have amenable unitary groups},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {114},
YEAR = {1992},
NUMBER = {3},
PAGES = {719--721},
ISSN = {0002-9939},
MRCLASS = {46L05},
MRNUMBER = {1076577},
MRREVIEWER = {C. J. K. Batty},
DOI = {10.2307/2159395},
URL = {https://doi.org/10.2307/2159395},
}
# Paulsen
@book{Paulsenbook,
AUTHOR = {Paulsen, Vern},
TITLE = {Completely bounded maps and operator algebras},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {78},
PUBLISHER = {Cambridge University Press, Cambridge},
YEAR = {2002},
PAGES = {xii+300},
ISBN = {0-521-81669-6},
MRCLASS = {46L07 (47A20 47L30)},
MRNUMBER = {1976867},
MRREVIEWER = {Christian Le Merdy},
}
# Phillips
@article {Phillips92,
AUTHOR = {Phillips, N. Christopher},
TITLE = {The rectifiable metric on the space of projections in a {C}*-algebra},
JOURNAL = {Internat. J. Math.},
FJOURNAL = {International Journal of Mathematics},
VOLUME = {3},
YEAR = {1992},
NUMBER = {5},
PAGES = {679--698},
ISSN = {0129-167X},
MRCLASS = {46L05},
MRNUMBER = {1189681},
MRREVIEWER = {Shuang Zhang},
DOI = {10.1142/S0129167X92000333},
URL = {https://doi.org/10.1142/S0129167X92000333},
}
@article {Phillips95,
AUTHOR = {Phillips, N. Christopher},
TITLE = {Exponential length and traces},
JOURNAL = {Proc. Roy. Soc. Edinburgh Sect. A},
FJOURNAL = {Proceedings of the Royal Society of Edinburgh. Section A.
Mathematics},
VOLUME = {125},
YEAR = {1995},
NUMBER = {1},
PAGES = {13--29},
ISSN = {0308-2105},
MRCLASS = {46L05},
MRNUMBER = {1318621},
MRREVIEWER = {Shuang Zhang},
DOI = {10.1017/S0308210500030730},
URL = {https://doi.org/10.1017/S0308210500030730},
}
@article {Phillips00,
AUTHOR = {Phillips, N. Christopher},
TITLE = {A classification theorem for nuclear purely infinite simple {C}*-algebras},
JOURNAL = {Doc. Math.},
FJOURNAL = {Documenta Mathematica},
VOLUME = {5},
YEAR = {2000},
PAGES = {49--114},
ISSN = {1431-0635},
MRCLASS = {46L05 (19K56 46L35 46L80)},
MRNUMBER = {1745197},
MRREVIEWER = {Mikael R{\o}rdam},
}
@article {Phillips01,
AUTHOR = {Phillips, N. Christopher},
TITLE = {Continuous-trace {C}*-algebras not isomorphic to their opposite algebras},
JOURNAL = {Internat. J. Math.},
FJOURNAL = {International Journal of Mathematics},
VOLUME = {12},
YEAR = {2001},
NUMBER = {3},
PAGES = {263--275},
ISSN = {0129-167X},
MRCLASS = {46L05 (46L35)},
MRNUMBER = {1841515},
MRREVIEWER = {Takahiro Sudo},
DOI = {10.1142/S0129167X01000642},
URL = {https://doi.org/10.1142/S0129167X01000642},
}
@article{Phillips04,
title={A simple separable {C}*-algebra not isomorphic to its opposite algebra},
author={Phillips, N. Christopher},
journal={Proceedings of the American Mathematical Society},
volume={132},
number={10},
pages={2997--3005},
year={2004}
}
@article {Phillips04,
AUTHOR = {Phillips, N. Christopher},
TITLE = {A simple separable {C}*-algebra not isomorphic to its opposite algebra},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {132},
YEAR = {2004},
NUMBER = {10},
PAGES = {2997--3005},
ISSN = {0002-9939},
MRCLASS = {46L05 (46L35)},
MRNUMBER = {2063121},
MRREVIEWER = {Hiroyuki Osaka},
DOI = {10.1090/S0002-9939-04-07330-7},
URL = {https://doi.org/10.1090/S0002-9939-04-07330-7},
}
@article{Phillips12,
title={The tracial {R}okhlin property is generic},
author={Phillips, N. Christopher},
journal={arXiv:1209.3859},
year={2012}
}
# Phillips-Viola
@article {PhillipsViola13,
AUTHOR = {Phillips, N. Christopher and Viola, Maria Grazia},
TITLE = {A simple separable exact {C}*-algebra not anti-isomorphic to itself},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {355},
YEAR = {2013},
NUMBER = {2},
PAGES = {783--799},
ISSN = {0025-5831},
MRCLASS = {46L35 (46L09 46L37 46L40)},
MRNUMBER = {3010147},
MRREVIEWER = {Snigdhayan Mahanta},
DOI = {10.1007/s00208-011-0755-z},
URL = {https://doi.org/10.1007/s00208-011-0755-z},
}
# Pimsner-Voiculescu
@article {PimsnerVoiculescu80,
AUTHOR = {Pimsner, Mihai and Voiculescu, Dan},
TITLE = {Imbedding the irrational rotation {C}*-algebra into {AF}-algebra},
JOURNAL = {J. Operator Theory},
FJOURNAL = {Journal of Operator Theory},
VOLUME = {4},
YEAR = {1980},
NUMBER = {2},
PAGES = {201--210},
ISSN = {0379-4024},
MRCLASS = {46L35 (16A54)},
MRNUMBER = {595412},
MRREVIEWER = {David Handelman},
}
# Pitts
@article {Pitts17,
AUTHOR = {Pitts, David R.},
TITLE = {Structure for regular inclusions. {I}},
JOURNAL = {J. Operator Theory},
FJOURNAL = {Journal of Operator Theory},
VOLUME = {78},
YEAR = {2017},
NUMBER = {2},
PAGES = {357--416},
ISSN = {0379-4024,1841-7744},
MRCLASS = {46L05 (47L30)},
MRNUMBER = {3725511},
MRREVIEWER = {Michael\ S.\ Anoussis},
DOI = {10.7900/jot},
URL = {https://doi.org/10.7900/jot},
}
@article {Pitts21StructureII,
AUTHOR = {Pitts, David R.},
TITLE = {Structure for regular inclusions. {II}: {C}artan envelopes,
pseudo-expectations and twists},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {281},
YEAR = {2021},
NUMBER = {1},
PAGES = {Paper No. 108993, 66},
ISSN = {0022-1236,1096-0783},
MRCLASS = {46L05 (22A22 46L07)},
MRNUMBER = {4234857},
MRREVIEWER = {Preeti\ Luthra},
DOI = {10.1016/j.jfa.2021.108993},
URL = {https://doi.org/10.1016/j.jfa.2021.108993},
}
@article{Pitts21Normalizers,
title={Normalizers and approximate units for inclusions of C*-algebras},
author={Pitts, David R},
journal={arXiv:2109.00856},
year={2021}
}
# Pitts-Smith-Zarikian
@article{PittsSmithZarikian23,
title={Norming in Discrete Crossed Products},
author={Pitts, David R and Smith, Roger R and Zarikian, Vrej},
journal={arXiv:2307.15571},
year={2023}
}
# Pitts-Zarikian
@article {PittsZarikian15,
AUTHOR = {Pitts, David R. and Zarikian, Vrej},
TITLE = {Unique pseudo-expectations for {C}*-inclusions},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {59},
YEAR = {2015},
NUMBER = {2},
PAGES = {449--483},
ISSN = {0019-2082,1945-6581},
MRCLASS = {46L05 (46L07 46L10 46M10)},
MRNUMBER = {3499520},
MRREVIEWER = {Bernard\ Russo},
URL = {http://projecteuclid.org/euclid.ijm/1462450709},
}
# Popa
@article {Popa83,
AUTHOR = {Popa, Sorin},
TITLE = {Orthogonal pairs of *-subalgebras in finite von {N}eumann algebras},
JOURNAL = {J. Operator Theory},
FJOURNAL = {Journal of Operator Theory},
VOLUME = {9},
YEAR = {1983},
NUMBER = {2},
PAGES = {253--268},
ISSN = {0379-4024},
MRCLASS = {46L10 (16A30 20C07)},
MRNUMBER = {703810},
MRREVIEWER = {G. A. Elliott},
}
@article {Popa89,
AUTHOR = {Popa, Sorin},
TITLE = {Sousfacteurs, actions des groupes et cohomologie},
JOURNAL = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
FJOURNAL = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie I.
Math\'{e}matique},
VOLUME = {309},
YEAR = {1989},
NUMBER = {12},
PAGES = {771--776},
ISSN = {0764-4442},
MRCLASS = {46L37 (22D25 22D35 46L55 46L80)},
MRNUMBER = {1054961},
MRREVIEWER = {Masatoshi Enomoto},
}
@article {Popa00,
AUTHOR = {Popa, Sorin},
TITLE = {On the relative {D}ixmier property for inclusions of {C}*-algebras},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {171},
YEAR = {2000},
NUMBER = {1},
PAGES = {139--154},
ISSN = {0022-1236},
MRCLASS = {46L37 (46L05)},
MRNUMBER = {1742862},
MRREVIEWER = {H. Halpern},
DOI = {10.1006/jfan.1999.3536},
URL = {https://doi.org/10.1006/jfan.1999.3536},
}
# Popa-Takesaki
@article {PopaTakesaki93,
AUTHOR = {Popa, Sorin and Takesaki, Masamichi},
TITLE = {The topological structure of the unitary and automorphism
groups of a factor},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {155},
YEAR = {1993},
NUMBER = {1},
PAGES = {93--101},
ISSN = {0010-3616,1432-0916},
MRCLASS = {46L10 (46L40)},
MRNUMBER = {1228527},
MRREVIEWER = {Yasuyuki\ Kawahigashi},
URL = {http://projecteuclid.org/euclid.cmp/1104253201},
}
### QQQQQQQQQQQQQQQQQQQQQQQQ
# Quillen
@incollection {Quillen73,
AUTHOR = {Quillen, Daniel},
TITLE = {Higher algebraic {$K$}-theory. {I}},
BOOKTITLE = {Algebraic {$K$}-theory, {I}: {H}igher {$K$}-theories ({P}roc.
{C}onf., {B}attelle {M}emorial {I}nst., {S}eattle, {W}ash.,
1972)},
SERIES = {Lecture Notes in Math.},
VOLUME = {Vol. 341},
PAGES = {85--147},
PUBLISHER = {Springer, Berlin-New York},
YEAR = {1973},
MRCLASS = {18F25},
MRNUMBER = {338129},
MRREVIEWER = {Stephen\ M.\ Gersten},
}
### RRRRRRRRRRRRRRRRRRRRRRRRRR
# Raeburn
@book {RaeburnBook,
AUTHOR = {Raeburn, Iain},
TITLE = {Graph algebras},
SERIES = {CBMS Regional Conference Series in Mathematics},
VOLUME = {103},
PUBLISHER = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC; by the American Mathematical
Society, Providence, RI},
YEAR = {2005},
PAGES = {vi+113},
ISBN = {0-8218-3660-9},
MRCLASS = {46L05 (22D25)},
MRNUMBER = {2135030},
MRREVIEWER = {Mark Tomforde},
DOI = {10.1090/cbms/103},
URL = {https://doi.org/10.1090/cbms/103},
}
#Rieffel
@article {Rieffel83,
AUTHOR = {Rieffel, Marc A.},
TITLE = {Dimension and stable rank in the {$K$}-theory of {C}*-algebras},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {46},
YEAR = {1983},
NUMBER = {2},
PAGES = {301--333},
ISSN = {0024-6115,1460-244X},
MRCLASS = {46L05 (46H20 46M20)},
MRNUMBER = {693043},
MRREVIEWER = {David\ Handelman},
DOI = {10.1112/plms/s3-46.2.301},
URL = {https://doi.org/10.1112/plms/s3-46.2.301},
}
@article {Rieffel87,
AUTHOR = {Rieffel, Marc A.},
TITLE = {The homotopy groups of the unitary groups of noncommutative tori},
JOURNAL = {J. Operator Theory},
FJOURNAL = {Journal of Operator Theory},
VOLUME = {17},
YEAR = {1987},
NUMBER = {2},
PAGES = {237--254},
ISSN = {0379-4024},
MRCLASS = {22D25 (46L55 46L80)},
MRNUMBER = {887221},
MRREVIEWER = {Gustavo Corach},
}
# Robert
@article {Robert12,
AUTHOR = {Robert, Leonel},
TITLE = {Classification of inductive limits of 1-dimensional {NCCW}
complexes},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {231},
YEAR = {2012},
NUMBER = {5},
PAGES = {2802--2836},
ISSN = {0001-8708},
MRCLASS = {46L35},
MRNUMBER = {2970466},
MRREVIEWER = {Changguo Wei},
DOI = {10.1016/j.aim.2012.07.010},
URL = {https://doi.org/10.1016/j.aim.2012.07.010},
}
@article {Robert19,
AUTHOR = {Robert, Leonel},
TITLE = {Normal subgroups of invertibles and of unitaries in a {C}*-algebra},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {756},
YEAR = {2019},
PAGES = {285--319},
ISSN = {0075-4102,1435-5345},
MRCLASS = {46L05 (46L40)},
MRNUMBER = {4026455},
MRREVIEWER = {Jia-jie\ Hua},
DOI = {10.1515/crelle-2017-0020},
URL = {https://doi.org/10.1515/crelle-2017-0020},
}
#Robertson
@article {Robertson80,
AUTHOR = {Robertson, A. Guyan},
TITLE = {Stable range in {C}*-algebras},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {87},
YEAR = {1980},
NUMBER = {3},
PAGES = {413--418},
ISSN = {0305-0041,1469-8064},
MRCLASS = {46L05},
MRNUMBER = {556921},
DOI = {10.1017/S030500410005684X},
URL = {https://doi.org/10.1017/S030500410005684X},
}
# Rordam
@article {Rordam91,
AUTHOR = {R{\o}rdam, Mikael},
TITLE = {On the structure of simple {C}*-algebras tensored with a {UHF}-algebra},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {100},
YEAR = {1991},
NUMBER = {1},
PAGES = {1--17},
ISSN = {0022-1236},
MRCLASS = {46L05},
MRNUMBER = {1124289},
MRREVIEWER = {Mahmood Khoshkam},
DOI = {10.1016/0022-1236(91)90098-P},
URL = {https://doi.org/10.1016/0022-1236(91)90098-P},
}
@article {Rordam92,
AUTHOR = {R{\o}rdam, Mikael},
TITLE = {On the structure of simple {C}*-algebras tensored with a {UHF}-algebra. {II}},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {107},
YEAR = {1992},
NUMBER = {2},
PAGES = {255--269},
ISSN = {0022-1236},
MRCLASS = {46L05 (46L85)},
MRNUMBER = {1172023},
MRREVIEWER = {Mahmood Khoshkam},
DOI = {10.1016/0022-1236(92)90106-S},
URL = {https://doi.org/10.1016/0022-1236(92)90106-S},
}
@article {Rordam93,
AUTHOR = {R{\o}rdam, Mikael},
TITLE = {Classification of inductive limits of {C}untz algebras},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {440},
YEAR = {1993},
PAGES = {175--200},
ISSN = {0075-4102},
MRCLASS = {46L05 (19K99 46L80)},
MRNUMBER = {1225963},
MRREVIEWER = {Shuang Zhang},
DOI = {10.1515/crll.1993.440.175},
URL = {https://doi.org/10.1515/crll.1993.440.175},
}
@article {Rordam95,
AUTHOR = {R{\o}rdam, Mikael},
TITLE = {Classification of certain infinite simple {C}*-algebras},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {131},
YEAR = {1995},
NUMBER = {2},
PAGES = {415--458},
ISSN = {0022-1236},
MRCLASS = {46L05 (19K35 46L35 46L80)},
MRNUMBER = {1345038},
MRREVIEWER = {Judith A. Packer},
DOI = {10.1006/jfan.1995.1095},
URL = {https://doi.org/10.1006/jfan.1995.1095},
}
@incollection {RordamBook,
AUTHOR = {R{\o}rdam, Mikael},
TITLE = {Classification of nuclear, simple {C}*-algebras},
BOOKTITLE = {Classification of nuclear {C}*-algebras. {E}ntropy in
operator algebras},
SERIES = {Encyclopaedia Math. Sci.},
VOLUME = {126},
PAGES = {1--145},
PUBLISHER = {Springer, Berlin},
YEAR = {2002},
MRCLASS = {46L05 (19K56 46L35 46L80)},
MRNUMBER = {1878882},
MRREVIEWER = {Judith A. Packer},
DOI = {10.1007/978-3-662-04825-2\_1},
URL = {https://doi.org/10.1007/978-3-662-04825-2_1},
}
@book {RordamKBook,
AUTHOR = {R{\o}rdam, Mikael and Larsen, Flemming and Laustsen, Niels J.},
TITLE = {An introduction to {K}-theory for {C}*-algebras},
SERIES = {London Mathematical Society Student Texts},
VOLUME = {49},
PUBLISHER = {Cambridge University Press, Cambridge},
YEAR = {2000},
PAGES = {xii+242},
ISBN = {0-521-78334-8; 0-521-78944-3},
MRCLASS = {46-01 (19K35 46L80)},
MRNUMBER = {1783408},
MRREVIEWER = {\'{E}ric Leichtnam},
}
@article {Rordam03,
AUTHOR = {R{\o}rdam, Mikael},
TITLE = {A simple {C}*-algebra with a finite and an infinite projection},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {191},
YEAR = {2003},
NUMBER = {1},
PAGES = {109--142},
ISSN = {0001-5962},
MRCLASS = {46L05},
MRNUMBER = {2020420},
MRREVIEWER = {Berndt Brenken},
DOI = {10.1007/BF02392697},
URL = {https://doi.org/10.1007/BF02392697},
}
@article {Rordam04,
AUTHOR = {R{\o}rdam, Mikael},
TITLE = {The stable and the real rank of $\mathcal{Z}$-absorbing {C}*-algebras},
JOURNAL = {Internat. J. Math.},
FJOURNAL = {International Journal of Mathematics},
VOLUME = {15},
YEAR = {2004},
NUMBER = {10},
PAGES = {1065--1084},
ISSN = {0129-167X},
MRCLASS = {46L35 (19K14 46L05 46L06)},
MRNUMBER = {2106263},
MRREVIEWER = {Nadia S. Larsen},
DOI = {10.1142/S0129167X04002661},
URL = {https://doi.org/10.1142/S0129167X04002661},
}
@article {Rordam23,
AUTHOR = {R{\o}rdam, Mikael},
TITLE = {Irreducible inclusions of simple {C}*-algebras},
JOURNAL = {Enseign. Math.},
FJOURNAL = {L'Enseignement Math\'{e}matique},
VOLUME = {69},
YEAR = {2023},
NUMBER = {3-4},
PAGES = {275--314},
ISSN = {0013-8584,2309-4672},
MRCLASS = {46L05 (46L35 46L55)},
MRNUMBER = {4599249},
DOI = {10.4171/lem/1051},
URL = {https://doi.org/10.4171/lem/1051},
}
# Rordam-Winter
@article {RordamWinter10,
AUTHOR = {R{\o}rdam, Mikael and Winter, Wilhelm},
TITLE = {The {J}iang-{S}u algebra revisited},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {642},
YEAR = {2010},
PAGES = {129--155},
ISSN = {0075-4102},
MRCLASS = {46L35 (46L05 46L85)},
MRNUMBER = {2658184},
MRREVIEWER = {Hiroyuki Osaka},
DOI = {10.1515/CRELLE.2010.039},
URL = {https://doi.org/10.1515/CRELLE.2010.039},
}
# Rotman
@book {RotmanATBook,
AUTHOR = {Rotman, Joseph J.},
TITLE = {An introduction to algebraic topology},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {119},
PUBLISHER = {Springer-Verlag, New York},
YEAR = {1988},
PAGES = {xiv+433},
ISBN = {0-387-96678-1},
MRCLASS = {55-01},
MRNUMBER = {957919},
MRREVIEWER = {P.\ J.\ Kahn},
DOI = {10.1007/978-1-4612-4576-6},
URL = {https://doi.org/10.1007/978-1-4612-4576-6},
}
# Rosenberg
@article {Rosenberg89,
AUTHOR = {Rosenberg, Jonathan},
TITLE = {Continuous-trace algebras from the bundle theoretic point of
view},
JOURNAL = {J. Austral. Math. Soc. Ser. A},
FJOURNAL = {Australian Mathematical Society. Journal. Series A. Pure
Mathematics and Statistics},
VOLUME = {47},
YEAR = {1989},
NUMBER = {3},
PAGES = {368--381},
ISSN = {0263-6115},
MRCLASS = {46L80 (19K99 46L10 46M20 55R10)},
MRNUMBER = {1018964},
MRREVIEWER = {Claude Schochet},
}
@incollection {Rosenberg04,
AUTHOR = {Rosenberg, Jonathan},
TITLE = {Comparison between algebraic and topological {K}-theory for
{B}anach algebras and {C}*-algebras},
BOOKTITLE = {Handbook of {$K$}-theory. {V}ol. 1, 2},
PAGES = {843--874},
PUBLISHER = {Springer, Berlin},
YEAR = {2005},
MRCLASS = {46L80 (19K99 46H99)},
MRNUMBER = {2181834},
MRREVIEWER = {Efton Park},
DOI = {10.1007/978-3-540-27855-9\_16},
URL = {https://doi.org/10.1007/978-3-540-27855-9_16},
}
@article {Rosenberg97,
AUTHOR = {Rosenberg, Jonathan},
TITLE = {The algebraic {$K$}-theory of operator algebras},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {12},
YEAR = {1997},
NUMBER = {1},
PAGES = {75--99},
ISSN = {0920-3036},
MRCLASS = {19K99 (19D35 19D50 19L41 46L80)},
MRNUMBER = {1466624},
MRREVIEWER = {Hiroshi Takai},
DOI = {10.1023/A:1007736420938},
URL = {https://doi.org/10.1023/A:1007736420938},
}
@book {Rosenberg94,
AUTHOR = {Rosenberg, Jonathan},
TITLE = {Algebraic {$K$}-theory and its applications},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {147},
PUBLISHER = {Springer-Verlag, New York},
YEAR = {1994},
PAGES = {x+392},
ISBN = {0-387-94248-3},
MRCLASS = {19-01 (19-02)},
MRNUMBER = {1282290},
MRREVIEWER = {Dominique Arlettaz},
DOI = {10.1007/978-1-4612-4314-4},
URL = {https://doi.org/10.1007/978-1-4612-4314-4},
}
# Rosenberg-Schochet
@article {RosenbergSchochet87,
AUTHOR = {Rosenberg, Jonathan and Schochet, Claude},
TITLE = {The {K}\"{u}nneth theorem and the universal coefficient theorem
for {K}asparov's generalized {$K$}-functor},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {55},
YEAR = {1987},
NUMBER = {2},
PAGES = {431--474},
ISSN = {0012-7094},
MRCLASS = {46L80 (19K33 46M20 58G12)},
MRNUMBER = {894590},
MRREVIEWER = {Thierry Fack},
DOI = {10.1215/S0012-7094-87-05524-4},
URL = {https://doi.org/10.1215/S0012-7094-87-05524-4},
}
# Russo-Dye
@article {RussoDye66,
AUTHOR = {Russo, Bernard and Dye, Henry A.},
TITLE = {A note on unitary operators in {$C\sp{\ast} $}-algebras},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {33},
YEAR = {1966},
PAGES = {413--416},
ISSN = {0012-7094,1547-7398},
MRCLASS = {46.65},
MRNUMBER = {193530},
MRREVIEWER = {J.\ Glimm},
URL = {http://projecteuclid.org/euclid.dmj/1077376395},
}
### SSSSSSSSSSSSSSSSSSS
# Sakai
@article {Sakai55,
AUTHOR = {Sakai, Sh\^{o}ichir\^{o}},
TITLE = {On the group isomorphism of unitary groups in {AW}*-algebras},
JOURNAL = {Tohoku Math. J. (2)},
FJOURNAL = {The Tohoku Mathematical Journal. Second Series},
VOLUME = {7},
YEAR = {1955},
PAGES = {87--95},
ISSN = {0040-8735},
MRCLASS = {46.2X},
MRNUMBER = {73139},
MRREVIEWER = {J. Feldman},
DOI = {10.2748/tmj/1178245106},
URL = {https://doi.org/10.2748/tmj/1178245106},
}
@article {Sakai70,
AUTHOR = {Sakai, Sh\^{o}ichir\^{o}},
TITLE = {An uncountable number of {II}$_1$ and {II}$_{\infty}$ factors},
JOURNAL = {J. Functional Analysis},
VOLUME = {5},
YEAR = {1970},
PAGES = {236--246},
MRCLASS = {46.65},
MRNUMBER = {0259626},
MRREVIEWER = {Z. Takeda},
DOI = {10.1016/0022-1236(70)90028-5},
URL = {https://doi.org/10.1016/0022-1236(70)90028-5},
}
@book{Sakaibook,
title={{C}*-algebras and {W}*-algebras},
author={Sakai, Sh\^{o}ichir\^{o}},
year={2012},
publisher={Springer Science \& Business Media}
}
# Sarkowicz
@article{Sarkowicz24inclusion,
title={Tensorially absorbing inclusions of {C}*-algebras},
DOI={10.4153/S0008414X24000324},
journal={Canadian Journal of Mathematics},
author={Pawel Sarkowicz},
year={2024},
note={published online: doi:10.4153/S0008414X24000324},
pages={1–32}
}
@article{Sarkowicz24unitary,
title={Unitary groups, {K}-theory, and traces},
volume={66},
DOI={10.1017/S0017089523000447},
number={2},
journal={Glasgow Mathematical Journal},
author={Sarkowicz, Pawel},
year={2024},
pages={229–251}
}
@article{Sarkowicz24covering,
title={Universal covering groups of unitary groups of von {N}eumann algebras},
author={Pawel Sarkowicz},
year={2024},
eprint={2408.13710},
archivePrefix={arXiv},
primaryClass={math.OA},
url={https://arxiv.org/abs/2408.13710},
journal={arXiv preprint arXiv:2408.13710},
}
# Sarkowicz-Tikuisis
@article{SarkowiczTikuisis23,
title={Polar decomposition in algebraic {K}-theory},
author={Pawel Sarkowicz and Aaron Tikuisis},
year={2023},
NOTE={to appear in Journal of Operator Theory}
}
# Sato
@article {Sato10,
AUTHOR = {Sato, Yasuhiko},
TITLE = {The {R}ohlin property for automorphisms of the {J}iang-{S}u
algebra},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {259},
YEAR = {2010},
NUMBER = {2},
PAGES = {453--476},
ISSN = {0022-1236},
MRCLASS = {46L05 (46L35 46L40 46L80)},
MRNUMBER = {2644109},
MRREVIEWER = {Hua Xin Lin},
DOI = {10.1016/j.jfa.2010.04.006},
URL = {https://doi.org/10.1016/j.jfa.2010.04.006},
}
# Sato-White-Winter
@article {SatoWhiteWinter15,
AUTHOR = {Sato, Yasuhiko and White, Stuart and Winter, Wilhelm},
TITLE = {Nuclear dimension and {$\mathcal{Z}$}-stability},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {202},
YEAR = {2015},
NUMBER = {2},
PAGES = {893--921},
ISSN = {0020-9910},
MRCLASS = {46L35 (45L05)},
MRNUMBER = {3418247},
MRREVIEWER = {Aaron Tikuisis},
DOI = {10.1007/s00222-015-0580-1},
URL = {https://doi.org/10.1007/s00222-015-0580-1},
}
# Schafhauser
@article {Schafhauser20,
AUTHOR = {Schafhauser, Christopher},
TITLE = {Subalgebras of simple {AF}-algebras},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {192},
YEAR = {2020},
NUMBER = {2},
PAGES = {309--352},
ISSN = {0003-486X},
MRCLASS = {46L05 (46L35)},
MRNUMBER = {4151079},
MRREVIEWER = {Daniele Puglisi},
DOI = {10.4007/annals.2020.192.2.1},
URL = {https://doi.org/10.4007/annals.2020.192.2.1},
}
# Schemaitat
@article {Schemaitat22,
AUTHOR = {Schemaitat, Andr\'{e}},
TITLE = {The {J}iang-{S}u algebra is strongly self-absorbing revisited},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {282},
YEAR = {2022},
NUMBER = {6},
PAGES = {Paper No. 109347, 39},
ISSN = {0022-1236},
MRCLASS = {46L35 (46L05)},
MRNUMBER = {4360358},
MRREVIEWER = {Prahlad Vaidyanathan},
DOI = {10.1016/j.jfa.2021.109347},
URL = {https://doi.org/10.1016/j.jfa.2021.109347},
}
# Schochet
@article {SchochetIV,
AUTHOR = {Schochet, Claude},
TITLE = {Topological methods for {C}*-algebras. {IV}. {M}od {$p$} homology},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {114},
YEAR = {1984},
NUMBER = {2},
PAGES = {447--468},
ISSN = {0030-8730},
MRCLASS = {46L80 (19K33 46M20 55N99)},
MRNUMBER = {757511},
MRREVIEWER = {Vern Paulsen},
URL = {http://projecteuclid.org/euclid.pjm/1102708718},
}
# Schröder
@article{Schroder84,
author = {Schr{\"o}der, Herbert},
journal = {Mathematische Annalen},
keywords = {finite continuous W*-algebra; group of regular elements; fibration; exact homotopy
sequence; periodicity theorem},
pages = {271-278},
title = {On the Homotopy Type of the Regular Group of a {W}*-Algebra.},
url = {http://eudml.org/doc/163893},
volume = {267},
year = {1984},
}
@article{Schroder84real,
title={On the homotopy type of the regular group of a real {W}*-algebra},
author={Schr{\"o}der, Herbert},
journal={Integral Equations and Operator Theory},
year={1984},
volume={9},
pages={694-705},
url={https://api.semanticscholar.org/CorpusID:115847290}
}
# Schur
@article {Schur04,
AUTHOR = {Schur, Issai},
TITLE = {\"{U}ber die {D}arstellung der endlichen {G}ruppen durch
gebrochen lineare {S}ubstitutionen},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {127},
YEAR = {1904},
PAGES = {20--50},
ISSN = {0075-4102,1435-5345},
MRCLASS = {99-04},
MRNUMBER = {1580631},
DOI = {10.1515/crll.1904.127.20},
URL = {https://doi.org/10.1515/crll.1904.127.20},
}
# Serre
@book {Serre77,
AUTHOR = {Serre, Jean-Pierre},
TITLE = {Linear representations of finite groups},
SERIES = {Graduate Texts in Mathematics, Vol. 42},
NOTE = {Translated from the second French edition by Leonard L. Scott},
PUBLISHER = {Springer-Verlag, New York-Heidelberg},
YEAR = {1977},
PAGES = {x+170},
ISBN = {0-387-90190-6},
MRCLASS = {20CXX},
MRNUMBER = {0450380},
MRREVIEWER = {W. Feit},
}
# Shoda
@article {Shoda37,
AUTHOR = {Shoda, Kenjiro},
TITLE = {Einige {S}\"{a}tze \"{u}ber {M}atrizen},
JOURNAL = {Jpn. J. Math.},
FJOURNAL = {Japanese Journal of Mathematics},
VOLUME = {13},
YEAR = {1937},
NUMBER = {3},
PAGES = {361--365},
ISSN = {0075-3432},
MRCLASS = {15A24},
MRNUMBER = {3223061},
DOI = {10.4099/jjm1924.13.0\_361},
URL = {https://doi.org/10.4099/jjm1924.13.0_361},
}
# Silverman
@book{Silverman14,
title={A friendly introduction to number theory},
author={Silverman, Joseph H.},
year={2014},
publisher={Pearson}
}
# Sinclair Smith
@book {SinclairSmithBook,
AUTHOR = {Sinclair, Allan M. and Smith, Roger R.},
TITLE = {Finite von {N}eumann algebras and masas},
SERIES = {London Mathematical Society Lecture Note Series},
VOLUME = {351},
PUBLISHER = {Cambridge University Press, Cambridge},
YEAR = {2008},
PAGES = {x+400},
ISBN = {978-0-521-71919-3},
MRCLASS = {46L10},
MRNUMBER = {2433341},
MRREVIEWER = {Paul\ Jolissaint},
DOI = {10.1017/CBO9780511666230},
URL = {https://doi.org/10.1017/CBO9780511666230},
}
#Stallings
@article {Stallings65,
AUTHOR = {Stallings, John},
TITLE = {Homology and central series of groups},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {2},
YEAR = {1965},
PAGES = {170--181},
ISSN = {0021-8693},
MRCLASS = {18.20},
MRNUMBER = {175956},
MRREVIEWER = {Hirosi\ Nagao},
DOI = {10.1016/0021-8693(65)90017-7},
URL = {https://doi.org/10.1016/0021-8693(65)90017-7},
}
# Sutherland-Takesaki
@article {SutherlandTakesaki89,
AUTHOR = {Sutherland, Colin E. and Takesaki, Masamichi},
TITLE = {Actions of discrete amenable groups on injective factors of
type {${\rm III}_\lambda,\;\lambda\neq 1$}},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {137},
YEAR = {1989},
NUMBER = {2},
PAGES = {405--444},
ISSN = {0030-8730,1945-5844},
MRCLASS = {46L40 (22D25 46L10 46L55)},
MRNUMBER = {990219},
MRREVIEWER = {Sze-Kai\ Tsui},
URL = {http://projecteuclid.org/euclid.pjm/1102650391},
}
# Suziki
@article {Suzuki21,
AUTHOR = {Suzuki, Yuhei},
TITLE = {Equivariant $\mathcal{O}_2$-absorption theorem for exact groups},
JOURNAL = {Compos. Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {157},
YEAR = {2021},
NUMBER = {7},
PAGES = {1492--1506},
ISSN = {0010-437X,1570-5846},
MRCLASS = {46L55 (46L05)},
MRNUMBER = {4275465},
MRREVIEWER = {Qingzhai\ Fan},
DOI = {10.1112/s0010437x21007168},
URL = {https://doi.org/10.1112/s0010437x21007168},
}
#Szabo
@article {Szabo18,
AUTHOR = {Szab\'{o}, G\'{a}bor},
TITLE = {Equivariant {K}irchberg-{P}hillips-type absorption for
amenable group actions},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {361},
YEAR = {2018},
NUMBER = {3},
PAGES = {1115--1154},
ISSN = {0010-3616,1432-0916},
MRCLASS = {37A55 (46L40)},
MRNUMBER = {3830263},
MRREVIEWER = {Francesco\ Fidaleo},
DOI = {10.1007/s00220-018-3110-3},
URL = {https://doi.org/10.1007/s00220-018-3110-3},
}
### TTTTTTTTTTTTTTTTTTTT
# Takesaki
@book {TakesakiI,
AUTHOR = {Takesaki, Masamichi},
TITLE = {Theory of operator algebras. {I}},
SERIES = {Encyclopaedia of Mathematical Sciences},
VOLUME = {124},
NOTE = {Reprint of the first (1979) edition,
Operator Algebras and Non-commutative Geometry, 5},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2002},
PAGES = {xx+415},
ISBN = {3-540-42248-X},
MRCLASS = {46Lxx (46-01)},
MRNUMBER = {1873025},
}
@book {TakesakiII,
AUTHOR = {Takesaki, Masamichi},
TITLE = {Theory of operator algebras. {II}},
SERIES = {Encyclopaedia of Mathematical Sciences},
VOLUME = {125},
NOTE = {Operator Algebras and Non-commutative Geometry, 6},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2003},
PAGES = {xxii+518},
ISBN = {3-540-42914-X},
MRCLASS = {46L10 (47L35 47L55)},
MRNUMBER = {1943006},
MRREVIEWER = {Robert\ S.\ Doran},
DOI = {10.1007/978-3-662-10451-4},
URL = {https://doi.org/10.1007/978-3-662-10451-4},
}
@book {TakesakiIII,
AUTHOR = {Takesaki, Masamichi},
TITLE = {Theory of operator algebras. {III}},
SERIES = {Encyclopaedia of Mathematical Sciences},
VOLUME = {127},
NOTE = {Operator Algebras and Non-commutative Geometry, 8},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2003},
PAGES = {xxii+548},
ISBN = {3-540-42913-1},
MRCLASS = {46L10 (37A55 46L35 46L37 46L55)},
MRNUMBER = {1943007},
MRREVIEWER = {Robert\ S.\ Doran},
DOI = {10.1007/978-3-662-10453-8},
URL = {https://doi.org/10.1007/978-3-662-10453-8},
}
# Tatsuuma-Shimomura-Hirai
@article {TatsuumaShimomuraHirai98,
AUTHOR = {Tatsuuma, Nobuhiko and Shimomura, Hiroaki and Hirai, Takeshi},
TITLE = {On group topologies and unitary representations of inductive
limits of topological groups and the case of the group of
diffeomorphisms},
JOURNAL = {J. Math. Kyoto Univ.},
FJOURNAL = {Journal of Mathematics of Kyoto University},
VOLUME = {38},
YEAR = {1998},
NUMBER = {3},
PAGES = {551--578},
ISSN = {0023-608X},
MRCLASS = {22A05 (54H11 58D05)},
MRNUMBER = {1661157},
MRREVIEWER = {M. Rajagopalan},
DOI = {10.1215/kjm/1250518067},
URL = {https://doi.org/10.1215/kjm/1250518067},
}
# Thomsen
@article {Thomsen91,
AUTHOR = {Thomsen, Klaus},
TITLE = {Nonstable {$K$}-theory for operator algebras},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {4},
YEAR = {1991},
NUMBER = {3},
PAGES = {245--267},
ISSN = {0920-3036},
MRCLASS = {46L80 (19K33 46L85)},
MRNUMBER = {1106955},
MRREVIEWER = {Berndt Brenken},
DOI = {10.1007/BF00569449},
URL = {https://doi.org/10.1007/BF00569449},
}
@article {Thomsen93,
AUTHOR = {Thomsen, Klaus},
TITLE = {Finite sums and products of commutators in inductive limit {C}*-algebras},
JOURNAL = {Ann. Inst. Fourier (Grenoble)},
FJOURNAL = {Universit\'{e} de Grenoble. Annales de l'Institut Fourier},
VOLUME = {43},
YEAR = {1993},
NUMBER = {1},
PAGES = {225--249},
ISSN = {0373-0956},
MRCLASS = {46L05 (46M40)},
MRNUMBER = {1209702},
MRREVIEWER = {Guihua Gong},
URL = {http://www.numdam.org/item?id=AIF_1993__43_1_225_0},
}
@article {Thomsen95,
AUTHOR = {Thomsen, Klaus},
TITLE = {Traces, unitary characters and crossed products by {$\mathbb{Z}$}},
JOURNAL = {Publ. Res. Inst. Math. Sci.},
FJOURNAL = {Kyoto University. Research Institute for Mathematical
Sciences. Publications},
VOLUME = {31},
YEAR = {1995},
NUMBER = {6},
PAGES = {1011--1029},
ISSN = {0034-5318},
MRCLASS = {46L05 (46L80)},
MRNUMBER = {1382564},
MRREVIEWER = {Kevin McClanahan},
DOI = {10.2977/prims/1195163594},
URL = {https://doi.org/10.2977/prims/1195163594},
}
@article {Thomsen97,
AUTHOR = {Thomsen, Klaus},
TITLE = {Limits of certain subhomogeneous {C}*-algebras},
JOURNAL = {M\'{e}m. Soc. Math. Fr. (N.S.)},
FJOURNAL = {M\'{e}moires de la Soci\'{e}t\'{e} Math\'{e}matique de France. Nouvelle S\'{e}rie},
NUMBER = {71},
YEAR = {1997},
PAGES = {vi+125 pp. (1998)},
ISSN = {0249-633X},
MRCLASS = {46L05 (46L80 46M20)},
MRNUMBER = {1649315},
MRREVIEWER = {Mahmood Khoshkam},
DOI = {10.24033/msmf.385},
URL = {https://doi.org/10.24033/msmf.385},
}
@misc{Thomsen22,
title={On weights, traces and {K}-theory},
author={Klaus Thomsen},
year={2022},
eprint={2211.03172},
archivePrefix={arXiv},
primaryClass={math.OA}
}
# Tikuisis
@article {Tikuisis12,
AUTHOR = {Tikuisis, Aaron},
TITLE = {Regularity for stably projectionless, simple {C}*-algebras},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {263},
YEAR = {2012},
NUMBER = {5},
PAGES = {1382--1407},
ISSN = {0022-1236},
MRCLASS = {46L35 (46L05)},
MRNUMBER = {2943734},
MRREVIEWER = {Hiroyuki Osaka},
DOI = {10.1016/j.jfa.2012.05.020},
URL = {https://doi.org/10.1016/j.jfa.2012.05.020},
}
@article {Tikuisis16,
AUTHOR = {Tikuisis, Aaron},
TITLE = {{K}-theoretic characterization of {C}*-algebras with approximately inner flip},
JOURNAL = {Int. Math. Res. Not. IMRN},
FJOURNAL = {International Mathematics Research Notices. IMRN},
YEAR = {2016},
NUMBER = {18},
PAGES = {5670--5694},
ISSN = {1073-7928},
MRCLASS = {46L35 (19K99)},
MRNUMBER = {3567256},
MRREVIEWER = {Cristian Ivanescu},
DOI = {10.1093/imrn/rnv334},
URL = {https://doi.org/10.1093/imrn/rnv334},
}
# Tikuisis-White-Winter
@article {TikuisisWhiteWinter17,
AUTHOR = {Tikuisis, Aaron and White, Stuart and Winter, Wilhelm},
TITLE = {Quasidiagonality of nuclear {C}*-algebras},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {185},
YEAR = {2017},
NUMBER = {1},
PAGES = {229--284},
ISSN = {0003-486X},
MRCLASS = {46L05 (47L40)},
MRNUMBER = {3583354},
MRREVIEWER = {Dinesh Jayantilal Karia},
DOI = {10.4007/annals.2017.185.1.4},
URL = {https://doi.org/10.4007/annals.2017.185.1.4},
}
# Toms
@article {Toms05,
AUTHOR = {Toms, Andrew S.},
TITLE = {On the independence of {$K$}-theory and stable rank for simple
{C}*-algebras},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {578},
YEAR = {2005},
PAGES = {185--199},
ISSN = {0075-4102},
MRCLASS = {46L80 (19K33 46L05)},
MRNUMBER = {2113894},
MRREVIEWER = {Nadia S. Larsen},
DOI = {10.1515/crll.2005.2005.578.185},
URL = {https://doi.org/10.1515/crll.2005.2005.578.185},
}
@article {Toms08,
AUTHOR = {Toms, Andrew S.},
TITLE = {On the classification problem for nuclear {C}*-algebras},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {167},
YEAR = {2008},
NUMBER = {3},
PAGES = {1029--1044},
ISSN = {0003-486X},
MRCLASS = {46L35 (19K14 46L80)},
MRNUMBER = {2415391},
MRREVIEWER = {Francesc Perera},
DOI = {10.4007/annals.2008.167.1029},
URL = {https://doi.org/10.4007/annals.2008.167.1029},
}
@article {Toms08b,
AUTHOR = {Toms, Andrew S.},
TITLE = {An infinite family of non-isomorphic {C}*-algebras with
identical {$K$}-theory},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {360},
YEAR = {2008},
NUMBER = {10},
PAGES = {5343--5354},
ISSN = {0002-9947},
MRCLASS = {46L35 (46L05 46L80)},
MRNUMBER = {2415076},
MRREVIEWER = {Wilhelm Winter},
DOI = {10.1090/S0002-9947-08-04583-2},
URL = {https://doi.org/10.1090/S0002-9947-08-04583-2},
}
# Toms-Winter
@article {TomsWinter07,
AUTHOR = {Toms, Andrew S. and Winter, Wilhelm},
TITLE = {Strongly self-absorbing {C}*-algebras},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {359},
YEAR = {2007},
NUMBER = {8},
PAGES = {3999--4029},
ISSN = {0002-9947},
MRCLASS = {46L05 (46L35)},
MRNUMBER = {2302521},
MRREVIEWER = {Hua Xin Lin},
DOI = {10.1090/S0002-9947-07-04173-6},
URL = {https://doi.org/10.1090/S0002-9947-07-04173-6},
}
@article {TomsWinter08,
AUTHOR = {Toms, Andrew S. and Winter, Wilhelm},
TITLE = {{$\mathcal{Z}$}-stable {ASH} algebras},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques},
VOLUME = {60},
YEAR = {2008},
NUMBER = {3},
PAGES = {703--720},
ISSN = {0008-414X},
MRCLASS = {46L05 (46L35 46L80)},
MRNUMBER = {2414961},
MRREVIEWER = {Hua Xin Lin},
DOI = {10.4153/CJM-2008-031-6},
URL = {https://doi.org/10.4153/CJM-2008-031-6},
}
@article {TomsWinter09,
AUTHOR = {Toms, Andrew S. and Winter, Wilhelm},
TITLE = {The {E}lliott conjecture for {V}illadsen algebras of the first
type},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {256},
YEAR = {2009},
NUMBER = {5},
PAGES = {1311--1340},
ISSN = {0022-1236},
MRCLASS = {46L05 (46L35)},
MRNUMBER = {2490221},
MRREVIEWER = {Xiao Chun Fang},
DOI = {10.1016/j.jfa.2008.12.015},
URL = {https://doi.org/10.1016/j.jfa.2008.12.015},
}
# Toms-White-Winer
@article {TomsWhiteWinter15,
AUTHOR = {Toms, Andrew S. and White, Stuart and Winter, Wilhelm},
TITLE = {$\mathcal{Z}$-stability and finite-dimensional tracial
boundaries},
JOURNAL = {Int. Math. Res. Not. IMRN},
FJOURNAL = {International Mathematics Research Notices. IMRN},
YEAR = {2015},
NUMBER = {10},
PAGES = {2702--2727},
ISSN = {1073-7928},
MRCLASS = {46L35 (46L40)},
MRNUMBER = {3352253},
MRREVIEWER = {C. J. K. Batty},
DOI = {10.1093/imrn/rnu001},
URL = {https://doi.org/10.1093/imrn/rnu001},
}
### UUUUUUUUUUUUUUUU
### VVVVVVVVVVVVVVVVV
#Vaes
@article{Vaes24,
title={Every locally compact group is the outer automorphism group of a II$_1$ factor},
author={Vaes, Stefaan},
journal={arXiv preprint arXiv:2403.20299},
year={2024}
}
# Viladsen
@article {Villadsen98,
AUTHOR = {Villadsen, Jesper},
TITLE = {Simple {C}*-algebras with perforation},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {154},
YEAR = {1998},
NUMBER = {1},
PAGES = {110--116},
ISSN = {0022-1236},
MRCLASS = {46L05 (46L80)},
MRNUMBER = {1616504},
MRREVIEWER = {Mahmood Khoshkam},
DOI = {10.1006/jfan.1997.3168},
URL = {https://doi.org/10.1006/jfan.1997.3168},
}
@article {Villadsen99,
AUTHOR = {Villadsen, Jesper},
TITLE = {On the stable rank of simple {C}*-algebras},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {12},
YEAR = {1999},
NUMBER = {4},
PAGES = {1091--1102},
ISSN = {0894-0347},
MRCLASS = {46L05 (18B10 19K99 46L80 46M20)},
MRNUMBER = {1691013},
MRREVIEWER = {Vicumpriya S. Perera},
DOI = {10.1090/S0894-0347-99-00314-8},
URL = {https://doi.org/10.1090/S0894-0347-99-00314-8},
}
# Viola
@article {Viola04,
AUTHOR = {Viola, Maria Grazia},
TITLE = {On a subfactor construction of a factor non-antisomorphic to
itself},
JOURNAL = {Internat. J. Math.},
FJOURNAL = {International Journal of Mathematics},
VOLUME = {15},
YEAR = {2004},
NUMBER = {8},
PAGES = {833--854},
ISSN = {0129-167X,1793-6519},
MRCLASS = {46L37 (46L40 46L54)},
MRNUMBER = {2097021},
MRREVIEWER = {Teodor\ Banica},
DOI = {10.1142/S0129167X04002570},
URL = {https://doi.org/10.1142/S0129167X04002570},
}
# Voiculescu
@article{Voiculescu83,
title={Asymptotically commuting finite rank unitary operators without commuting approximants},
author={Voiculescu, Dan},
journal={Acta Sci. Math.(Szeged)},
volume={45},
number={1-4},
pages={429--431},
year={1983}
}
@article {Voiculescu83,
AUTHOR = {Voiculescu, Dan},
TITLE = {Asymptotically commuting finite rank unitary operators without
commuting approximants},
JOURNAL = {Acta Sci. Math. (Szeged)},
FJOURNAL = {Acta Universitatis Szegediensis. Acta Scientiarum
Mathematicarum},
VOLUME = {45},
YEAR = {1983},
NUMBER = {1-4},
PAGES = {429--431},
ISSN = {0001-6969},
MRCLASS = {47B44},
MRNUMBER = {708811},
}
### WWWWWWWWWWWWWWWWWWWWWWWWWWWW
# Wagoner
@article {Wagoner72,
AUTHOR = {Wagoner, John B.},
TITLE = {Delooping classifying spaces in algebraic {K}-theory},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {11},
YEAR = {1972},
PAGES = {349--370},
ISSN = {0040-9383},
MRCLASS = {18F25 (55B20 55D35)},
MRNUMBER = {354816},
MRREVIEWER = {J.\ P.\ May},
DOI = {10.1016/0040-9383(72)90031-6},
URL = {https://doi.org/10.1016/0040-9383(72)90031-6},
}
# Wen-Fang-Yao
@article{WenFangYao2023,
title={On Diximier's averaging theorem for operators in type {II}$_1$ factors},
author={Wen, Shilin and Fang, Junsheng and Yao, Zhaolin},
journal={arXiv preprint arXiv:2303.10602},
year={2023}
}
# Wiebel
@book {Kbook,
AUTHOR = {Weibel, Charles A.},
TITLE = {The {$K$}-book},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {145},
NOTE = {An introduction to algebraic $K$-theory},
PUBLISHER = {American Mathematical Society, Providence, RI},
YEAR = {2013},
PAGES = {xii+618},
ISBN = {978-0-8218-9132-2},
MRCLASS = {19-01},
MRNUMBER = {3076731},
MRREVIEWER = {L. N. Vaserstein},
DOI = {10.1090/gsm/145},
URL = {https://doi.org/10.1090/gsm/145},
}
# Willett-Yu
@article{WillettYu21,
title={The {UCT} for {C}*-algebras with finite complexity},
author={Willett, Rufus and Yu, Guoliang},
journal={arXiv e-prints},
pages={arXiv--2104},
year={2021}
}
# Winter
@article {Winter11,
AUTHOR = {Winter, Wilhelm},
TITLE = {Strongly self-absorbing {C}*-algebras are $\mathcal{Z}$-stable},
JOURNAL = {J. Noncommut. Geom.},
FJOURNAL = {Journal of Noncommutative Geometry},
VOLUME = {5},
YEAR = {2011},
NUMBER = {2},
PAGES = {253--264},
ISSN = {1661-6952},
MRCLASS = {46L35 (46L05 46L80)},
MRNUMBER = {2784504},
MRREVIEWER = {Camillo Trapani},
DOI = {10.4171/JNCG/74},
URL = {https://doi.org/10.4171/JNCG/74},
}
@article {Winter12,
AUTHOR = {Winter, Wilhelm},
TITLE = {Nuclear dimension and $\mathcal{Z}$-stability of pure {C}*-algebras},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {187},
YEAR = {2012},
NUMBER = {2},
PAGES = {259--342},
ISSN = {0020-9910},
MRCLASS = {46L85 (46L35)},
MRNUMBER = {2885621},
DOI = {10.1007/s00222-011-0334-7},
URL = {https://doi.org/10.1007/s00222-011-0334-7},
}
### XXXXXXXXXXXXXXXXXXXXX
### YYYYYYYYYYYYYYYYYYYYY
# Yen
@article {Yen56,
AUTHOR = {Yen, Ti},
TITLE = {Isomorphism of unitary groups in {AW}*-algebras},
JOURNAL = {Tohoku Math. J. (2)},
FJOURNAL = {The Tohoku Mathematical Journal. Second Series},
VOLUME = {8},
YEAR = {1956},
PAGES = {275--280},
ISSN = {0040-8735},
MRCLASS = {46.2X},
MRNUMBER = {89376},
MRREVIEWER = {I. E. Segal},
DOI = {10.2748/tmj/1178244951},
URL = {https://doi.org/10.2748/tmj/1178244951},
}
### ZZZZZZZZZZZZZZZZZZZZ
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