Simplicity criteria for etale groupoid $C^*$-algebras
Operator Algebras
2018-12-31 v2
Abstract
We develop a framework suitable for obtaining simplicity criteria for reduced -algebras of Hausdorff etale groupoids. This is based on the study of certain non-degenerate -subalgebras (in the case of groupoids, the -algebra of the interior isotropy bundle), for which one can control (non-unique) state extensions to the ambient C*-algebra. As an application, we give simplicity criteria for reduced crossed products of abelian -algebras by discrete groups.
Keywords
Cite
@article{arxiv.1805.11173,
title = {Simplicity criteria for etale groupoid $C^*$-algebras},
author = {Danny Crytser and Gabriel Nagy},
journal= {arXiv preprint arXiv:1805.11173},
year = {2018}
}
Comments
37 pages, revised version of arXiv:1805.11173 (minor typo fixes and changes in title, exposition and terminology)