All classifiable Kirchberg algebras are $C^{\ast}$-algebras of ample groupoids
Operator Algebras
2019-04-17 v1
Abstract
In this note we show that every Kirchberg algebra in the UCT class is the -algebra of a Hausdorff, ample, amenable and locally contracting groupoid. The non-unital case follows from Spielberg's graph-based models for Kirchberg algebras. Our contribution is the unital case and our proof builds on Spielberg's construction.
Cite
@article{arxiv.1904.07431,
title = {All classifiable Kirchberg algebras are $C^{\ast}$-algebras of ample groupoids},
author = {Lisa Orloff Clark and James Fletcher and Astrid an Huef},
journal= {arXiv preprint arXiv:1904.07431},
year = {2019}
}
Comments
6 pages