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arXiv · 0910.2366

The Tracial Rokhlin Property for Automorphisms on Non-Simple C*-algebras

Jiajie Hua
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Abstract

Let A be a unital AF-algebra (simple or non-simple) and let αbe an automorphism of A. Suppose that αhas certain Rokhlin property and A is α-simple. Suppose also that there is an integer J\geq1 such that α^{J}_{*0}=id_{K_{0}(A)}, we show that A\rtimes_α\mathbb{Z} has tracial rank zero.

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Jiajie Hua. 2009-10-13. The Tracial Rokhlin Property for Automorphisms on Non-Simple C*-algebras. https://arxiv.org/abs/0910.2366

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