Rokhlin dimension of Z^m actions on simple C*-algebras
Operator Algebras
2017-11-16 v2
Abstract
We study Rokhlin dimension of Z^m-actions on simple separable stably finite nuclear C*-algebras. We prove that under suitable assumptions, a strongly outer Z^m-action has finite Rokhlin dimension. This extends the known result for automorphisms. As an application, we show that for a large class of C*-algebras, the Z^m-Bernoulli action on the infinite tensor product has finite Rokhlin dimension.
Cite
@article{arxiv.1608.01051,
title = {Rokhlin dimension of Z^m actions on simple C*-algebras},
author = {Hung-Chang Liao},
journal= {arXiv preprint arXiv:1608.01051},
year = {2017}
}
Comments
21 pages; minor corrections