Z-stability of crossed products by strongly outer actions
Operator Algebras
2011-07-05 v2
Abstract
We consider a certain class of unital simple stably finite C^*-algebras which absorb the Jiang-Su algebra Z tensorially. Under a mild assumption, we show that the crossed product of a C^*-algebra in this class by a strongly outer action of Z^N or a finite group is Z-stable. As an application, we also prove that all strongly outer actions of Z^2 on Z are mutually cocycle conjugate.
Keywords
Cite
@article{arxiv.0912.4804,
title = {Z-stability of crossed products by strongly outer actions},
author = {Hiroki Matui and Yasuhiko Sato},
journal= {arXiv preprint arXiv:0912.4804},
year = {2011}
}