$\mathcal Z$-stability of $\mathrm{C}(X)\rtimes\Gamma$
Operator Algebras
2020-08-11 v1 Dynamical Systems
Abstract
Let be a free and minimal topological dynamical system, where is a separable compact Hausdorff space and is a countable infinite discrete amenable group. It is shown that if has the Uniform Rokhlin Property and Cuntz comparison of open sets, then implies that , where is the mean dimension and is the Jiang-Su algebra. In particular, in this case, implies that the C*-algebra is classified by the Elliott invariant.
Keywords
Cite
@article{arxiv.2008.03357,
title = {$\mathcal Z$-stability of $\mathrm{C}(X)\rtimes\Gamma$},
author = {Zhuang Niu},
journal= {arXiv preprint arXiv:2008.03357},
year = {2020}
}