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Crossed products by \alpha-simple automorphisms on C*-algebras C(X,A) by Hua, Jiajie is a scholarly article available to read on EtoBox.

What is Crossed products by \alpha-simple automorphisms on C*-algebras C(X,A) about?

Let $X$ be a Cantor set, and let $A$ be a unital separable simple amenable $C$*-algebra with tracial rank zero which satisfies the Universal Coefficient Theorem, we use $C(X,A)$ to denote the set of all continuous functions from $X$ to $A$, let $\alpha$ be an automorphism on $C(X,A)$. Suppose that $C(X,A)$ is $\alpha$-simple and $[\alpha]=[\mbox{id}_{1\otimes A}]$ in $KL(1\otimes A,1\otimes A)$, we show that $C(X,A)\rtimes_{\alpha}\mathbb{Z}$ has tracial rank zero.

Author

Hua, Jiajie

Published

2009

Language

EN