Local tracial C*-algebras
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Abstract:
Let $Omega$ be a class of unital $C^*$-algebras. We introduce the notion of a local tracial $Omega$-algebra. Let $A$ be an $alpha$-simple unital local tracial $Omega$-algebra. Suppose that $alpha:Gto $Aut($A$) is an action of a finite group $G$ on $A$ which has a certain non-simple tracial Rokhlin property. Then the crossed product algebra $C^*(G,A,alpha)$ is a unital local tracial $Omega$-algebra.
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Journal title
volume 43 issue 1
pages 137- 145
publication date 2017-02-22
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