A Criterion for $\mathcal{Z}$-Stability with Applications to Crossed Products
Operator Algebras
2016-09-01 v2
Abstract
Building on an argument by Toms and Winter, we show that if is a simple, separable, unital, -stable C*-algebra, then the crossed product of by an automorphism is also Z-stable, provided that the automorphism induces a minimal homeomorphism on . As a consequence, we observe that if is nuclear and purely infinite then the crossed product is a Kirchberg algebra.
Keywords
Cite
@article{arxiv.1507.07524,
title = {A Criterion for $\mathcal{Z}$-Stability with Applications to Crossed Products},
author = {Julian Buck},
journal= {arXiv preprint arXiv:1507.07524},
year = {2016}
}
Comments
6 pages