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

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

2009-10-13

arxiv.org/abs/0910.2366v1

Mathematics

Operator Algebras

11 pages

Scientific paper

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

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