The Tracial Rokhlin Property for Automorphisms on Non-Simple C*-algebras
Operator Algebras
2009-10-14 v1 Functional Analysis
Abstract
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.
Cite
@article{arxiv.0910.2366,
title = {The Tracial Rokhlin Property for Automorphisms on Non-Simple C*-algebras},
author = {Jiajie Hua},
journal= {arXiv preprint arXiv:0910.2366},
year = {2009}
}
Comments
11 pages