128 lines
5.3 KiB
Plaintext
128 lines
5.3 KiB
Plaintext
\newcommand{\etalchar}[1]{$^{#1}$}
|
|
\providecommand{\bysame}{\leavevmode\hbox to3em{\hrulefill}\thinspace}
|
|
\providecommand{\MR}{\relax\ifhmode\unskip\space\fi MR }
|
|
% \MRhref is called by the amsart/book/proc definition of \MR.
|
|
\providecommand{\MRhref}[2]{%
|
|
\href{http://www.ams.org/mathscinet-getitem?mr=#1}{#2}
|
|
}
|
|
\providecommand{\href}[2]{#2}
|
|
\begin{thebibliography}{CGS{\etalchar{+}}23}
|
|
|
|
\bibitem[AS00]{AguilarSocolovsky00}
|
|
Marcelo~A. Aguilar and Miguel Socolovsky, \emph{Universal covering group of
|
|
{${\rm U}(n)$} and projective representations}, Internat. J. Theoret. Phys.
|
|
\textbf{39} (2000), no.~4, 997--1013. \MR{1779169}
|
|
|
|
\bibitem[ASS71]{ArakiSmithSmith71}
|
|
Huzihiro Araki, Mi-Soo~B. Smith, and Larry Smith, \emph{On the homotopical
|
|
significance of the type of von {N}eumann algebra factors}, Comm. Math. Phys.
|
|
\textbf{22} (1971), 71--88. \MR{288587}
|
|
|
|
\bibitem[Bre70]{Breuer70}
|
|
M.~Breuer, \emph{On the homotopy type of the group of regular elements of
|
|
semifinite von {N}eumann algebras}, Math. Ann. \textbf{185} (1970), 61--74.
|
|
\MR{264408}
|
|
|
|
\bibitem[Bro67]{Broise67}
|
|
Michel Broise, \emph{Commutateurs dans le groupe unitaire d'un facteur}, J.
|
|
Math. Pures Appl. (9) \textbf{46} (1967), 299--312. \MR{223900}
|
|
|
|
\bibitem[BW76]{BruningWillgerodt76}
|
|
Jochen Br\"uning and Wolfgang Willgerodt, \emph{Eine {V}erallgemeinerung eines
|
|
{S}atzes von {N}. {K}uiper}, Math. Ann. \textbf{220} (1976), no.~1, 47--58.
|
|
\MR{405483}
|
|
|
|
\bibitem[CGS{\etalchar{+}}23]{CGSTW23}
|
|
Jos{\'e}~R. Carri{\'o}n, James Gabe, Christopher Schafhauser, Aaron Tikuisis,
|
|
and Stuart White, \emph{Classifying *-homomorphisms {I}: unital simple
|
|
nuclear {C}*-algebras}, arXiv:2307.06480 (2023).
|
|
|
|
\bibitem[dlH13]{dlHarpe13}
|
|
Pierre de~la Harpe, \emph{Fuglede--{K}adison determinant: theme and
|
|
variations}, Proc. Natl. Acad. Sci. USA \textbf{110} (2013), no.~40,
|
|
15864--15877. \MR{3363445}
|
|
|
|
\bibitem[dlHM83]{dlHarpeMcDuff83}
|
|
Pierre de~la Harpe and Dusa McDuff, \emph{Acyclic groups of automorphisms},
|
|
Comment. Math. Helv. \textbf{58} (1983), no.~1, 48--71. \MR{699006}
|
|
|
|
\bibitem[dlHS84]{dlHS84a}
|
|
Pierre de~la Harpe and Georges Skandalis, \emph{D\'{e}terminant associ\'{e} \`a
|
|
une trace sur une alg\'{e}bre de {B}anach}, Ann. Inst. Fourier (Grenoble)
|
|
\textbf{34} (1984), no.~1, 241--260. \MR{743629}
|
|
|
|
\bibitem[FdlH80]{FackdlHarpe80}
|
|
Thierry Fack and Pierre de~la Harpe, \emph{Sommes de commutateurs dans les
|
|
alg\`ebres de von {N}eumann finies continues}, Ann. Inst. Fourier (Grenoble)
|
|
\textbf{30} (1980), no.~3, 49--73. \MR{597017}
|
|
|
|
\bibitem[FK52]{FugledeKadison52}
|
|
Bent Fuglede and Richard~V. Kadison, \emph{Determinant theory in finite
|
|
factors}, Ann. of Math. (2) \textbf{55} (1952), 520--530. \MR{52696}
|
|
|
|
\bibitem[Han78]{Handelman78}
|
|
David Handelman, \emph{{$K_0$} of von {N}eumann and {AF} {C}*-algebras}, Quart.
|
|
J. Math. Oxford Ser. (2) \textbf{29} (1978), no.~116, 427--441. \MR{517736}
|
|
|
|
\bibitem[Hat02]{HatcherAT}
|
|
Allen Hatcher, \emph{Algebraic topology}, Cambridge University Press,
|
|
Cambridge, 2002. \MR{1867354}
|
|
|
|
\bibitem[JS99]{JiangSu99}
|
|
Xinhui Jiang and Hongbing Su, \emph{On a simple unital projectionless
|
|
{C}*-algebra}, Amer. J. Math. \textbf{121} (1999), no.~2, 359--413.
|
|
\MR{1680321}
|
|
|
|
\bibitem[Ker70]{Kervaire70}
|
|
Michel~A. Kervaire, \emph{Multiplicateurs de schur et k-th{\'e}orie},
|
|
pp.~212--225, Springer Berlin Heidelberg, Berlin, Heidelberg, 1970.
|
|
|
|
\bibitem[KR86]{KadisonRingroseII}
|
|
Richard~V. Kadison and John~R. Ringrose, \emph{Fundamentals of the theory of
|
|
operator algebras. {V}ol. {II}}, Pure and Applied Mathematics, vol. 100,
|
|
Academic Press, Inc., Orlando, FL, 1986, Advanced theory. \MR{859186}
|
|
|
|
\bibitem[Kui65]{Kuiper65}
|
|
Nicolaas~H. Kuiper, \emph{The homotopy type of the unitary group of {H}ilbert
|
|
space}, Topology \textbf{3} (1965), 19--30. \MR{179792}
|
|
|
|
\bibitem[NT96]{NielsenThomsen96}
|
|
Karen~E. Nielsen and Klaus Thomsen, \emph{Limits of circle algebras},
|
|
Exposition. Math. \textbf{14} (1996), no.~1, 17--56. \MR{1382013}
|
|
|
|
\bibitem[Rie87]{Rieffel87}
|
|
Marc~A. Rieffel, \emph{The homotopy groups of the unitary groups of
|
|
noncommutative tori}, J. Operator Theory \textbf{17} (1987), no.~2, 237--254.
|
|
\MR{887221}
|
|
|
|
\bibitem[RLL00]{RordamKBook}
|
|
Mikael R{\o}rdam, Flemming Larsen, and Niels~J. Laustsen, \emph{An introduction
|
|
to {K}-theory for {C}*-algebras}, London Mathematical Society Student Texts,
|
|
vol.~49, Cambridge University Press, Cambridge, 2000. \MR{1783408}
|
|
|
|
\bibitem[Rot88]{RotmanATBook}
|
|
Joseph~J. Rotman, \emph{An introduction to algebraic topology}, Graduate Texts
|
|
in Mathematics, vol. 119, Springer-Verlag, New York, 1988. \MR{957919}
|
|
|
|
\bibitem[Sch84a]{Schroder84real}
|
|
Herbert Schr{\"o}der, \emph{On the homotopy type of the regular group of a real
|
|
{W}*-algebra}, Integral Equations and Operator Theory \textbf{9} (1984),
|
|
694--705.
|
|
|
|
\bibitem[Sch84b]{Schroder84}
|
|
\bysame, \emph{On the homotopy type of the regular group of a {W}*-algebra.},
|
|
Mathematische Annalen \textbf{267} (1984), 271--278.
|
|
|
|
\bibitem[Tak02]{TakesakiI}
|
|
Masamichi Takesaki, \emph{Theory of operator algebras. {I}}, Encyclopaedia of
|
|
Mathematical Sciences, vol. 124, Springer-Verlag, Berlin, 2002, Reprint of
|
|
the first (1979) edition, Operator Algebras and Non-commutative Geometry, 5.
|
|
\MR{1873025}
|
|
|
|
\bibitem[Tho95]{Thomsen95}
|
|
Klaus Thomsen, \emph{Traces, unitary characters and crossed products by
|
|
{$\mathbb{Z}$}}, Publ. Res. Inst. Math. Sci. \textbf{31} (1995), no.~6,
|
|
1011--1029. \MR{1382564}
|
|
|
|
\end{thebibliography}
|