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- W2907837536 abstract "We study the automorphism group of a unital, simple, $mathcal{Z}$-stable $C^{*}$-algebra. In this paper, we generalize the results by the authors in cite{pr_auto} to $mathcal{Z}$-stable $C^{*}$-algebras $mathfrak{A}$ such that $mathfrak{A} otimes mathfrak{B}$ is a separable, nuclear, simple, tracially AI algebras satisfying the Universal Coefficient Theorem (UCT) of Rosenberg and Schochet cite{uct}. By the results of Lin in cite{hl_asyunit} and Winter in cite{ww_localelliott}, $C^{ast}$-algebras that satisfies the above condition are classified via $K$-theory and traces." @default.
- W2907837536 created "2019-01-11" @default.
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- W2907837536 date "2013-03-11" @default.
- W2907837536 modified "2023-10-01" @default.
- W2907837536 title "The automorphism group of a simple $mathcal {Z}$-stable $C^{*}$-algebra" @default.
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- W2907837536 doi "https://doi.org/10.1090/s0002-9947-2013-05728-5" @default.
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