#### AAAAAA # Albert-Muckenhoupt @article{AlbertMuckenhoupt57, title={On matrices of trace zeros}, 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}, } # 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}, } # 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}, } #### BBBBBBBBBBBBBBBBBBBBBBBB #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}, } #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}, } # 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}, } # 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}, } # 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}, } # 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{CETW19, title={Uniform property {G}amma}, author={Castillejos, Jorge and Evington, Samuel and Tikuisis, Aaron and White, Stuart}, journal={arXiv:1912.04207}, year={2019} } @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}, } # 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 {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 {dlHarpe79, 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 {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-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, H. 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, H. 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}, } ### EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE # 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} } # Elliott-Li-Niu #@article{ElliottLiNiu22, # title={A remark on {V}illadsen algebras}, # author={Elliott, George A. and Li, Chun G. and Niu, Zhuang}, # journal={arXiv:2209.10649}, # year={2022} #} @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} } ### FFFFFFFFFFFFFFFFFFFFFF #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}, } # 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}, } # 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}, } # 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} } # 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}, } # 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-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}, } # 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 # 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}, } @article {Jones80, 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}, } ### KKKKKKKKKKKKKKKKKKKKKKKKK # 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-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-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}, } # 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}, } # 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 # 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-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 # 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}, } ### 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 {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}, } # 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}, } # 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}, } ### 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{Sarkowicz23inclusion, title={Tensorially Absorbing Inclusions of {C}*-algebras}, author={Pawel Sarkowicz}, year={2023}, eprint={2211.14974}, archivePrefix={arXiv}, primaryClass={math.OA}, journal={arXiv:2211.14974}, NOTE={preprint} } @article{Sarkowicz23unitary, title={Unitary groups, {K}-theory and traces}, author={Pawel Sarkowicz}, year={2023}, eprint={2305.15989}, archivePrefix={arXiv}, primaryClass={math.OA}, journal={arXiv:2305.15989}, NOTE={preprint} } # Sarkowicz-Tikuisis @article{SarkowiczTikuisis, title={Polar decomposition in algebraic {K}-theory}, author={Pawel Sarkowicz and Aaron Tikuisis}, year={2023}, eprint={2303.16248}, archivePrefix={arXiv}, primaryClass={math.OA}, journal={arXiv:2303.16248}, NOTE={preprint} } # 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}, } # 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} } # 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}, } @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}, } # 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}, } ### TTTTTTTTTTTTTTTTTTTT # Takoutsing-Robert @article{TakoutsingRobert23, title={Distinguishing {C}*-algebras by their unitary groups}, author={Takoutsing, Lionel Fogang and Robert, Leonel}, journal={arXiv:2306.15825}, year={2023} } # 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 # 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}, } # 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 # 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