$\mathcal Z$-stability and finite dimensional tracial boundaries
Operator Algebras
2015-08-26 v2
Abstract
We show that a simple separable unital nuclear nonelementary -algebra whose tracial state space has a compact extreme boundary with finite covering dimension admits uniformly tracially large order zero maps from matrix algebras into its central sequence algebra. As a consequence, strict comparison implies -stability for these algebras.
Keywords
Cite
@article{arxiv.1209.3292,
title = {$\mathcal Z$-stability and finite dimensional tracial boundaries},
author = {Andrew Toms and Stuart White and Wilhelm Winter},
journal= {arXiv preprint arXiv:1209.3292},
year = {2015}
}
Comments
20 Pages, minor typos fixed