\newcommand{\etalchar}[1]{$^{#1}$}
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\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}{ARBG12}

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Matej Bre\v{s}ar, \emph{Commuting traces of biadditive mappings,
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Jos{\'e}~R. Carri{\'o}n, James Gabe, Christopher Schafhauser, Aaron Tikuisis,
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George~A. Elliott, Guihua Gong, H.~Lin, and Zhuang Niu, \emph{On the
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Gerald~B. Folland, \emph{A course in abstract harmonic analysis}, second ed.,
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Guihua Gong, Huaxin Lin, and Zhuang Niu, \emph{A classification of finite
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  one}, C. R. Math. Acad. Sci. Soc. R. Can. \textbf{42} (2020), no.~4,
  451--539. \MR{4215380}

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Guihua Gong, \emph{On inductive limits of matrix algebras over
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Kenneth~R. Goodearl, \emph{Partially ordered abelian groups with
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Thierry Giordano and Adam Sierakowski, \emph{The general linear group as a
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  no.~2, 249--269. \MR{3552377}

\bibitem[Hal15]{HallBook}
Brian Hall, \emph{Lie groups, {L}ie algebras, and representations}, second ed.,
  Graduate Texts in Mathematics, vol. 222, Springer, Cham, 2015, An elementary
  introduction. \MR{3331229}

\bibitem[HM14]{HatoriMolnar14}
Osamu Hatori and Lajos Moln\'{a}r, \emph{Isometries of the unitary groups and
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\bibitem[Jia97]{Jiang97}
Xinhui Jiang, \emph{Nonstable {K}-theory for $\mathcal{Z}$-stable
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Ping~W. Ng, \emph{The kernel of the determinant map on certain simple
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\bibitem[NR17]{NgRobert17}
Ping~W. Ng and Leonel Robert, \emph{The kernel of the determinant map on pure
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  \MR{3647937}

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\bibitem[Phi92]{Phillips92}
N.~Christopher Phillips, \emph{The rectifiable metric on the space of
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\bibitem[Phi00]{Phillips00}
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\bibitem[Rie87]{Rieffel87}
Marc~A. Rieffel, \emph{The homotopy groups of the unitary groups of
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\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[R{\o}r02]{RordamBook}
Mikael R{\o}rdam, \emph{Classification of nuclear, simple {C}*-algebras},
  Classification of nuclear {C}*-algebras. {E}ntropy in operator algebras,
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\bibitem[Sak55]{Sakai55}
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  {AW}*-algebras}, Tohoku Math. J. (2) \textbf{7} (1955), 87--95. \MR{73139}

\bibitem[Sak12]{Sakaibook}
\bysame, \emph{{C}*-algebras and {W}*-algebras}, Springer Science \& Business
  Media, 2012.

\bibitem[Sch84]{SchochetIV}
Claude Schochet, \emph{Topological methods for {C}*-algebras. {IV}. {M}od {$p$}
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\bibitem[Tho93]{Thomsen93}
Klaus Thomsen, \emph{Finite sums and products of commutators in inductive limit
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\bibitem[Tho95]{Thomsen95}
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\bibitem[Yen56]{Yen56}
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\end{thebibliography}