Back to Search
Start Over
Simplicity criteria for etale groupoid $C^*$-algebras
- Publication Year :
- 2018
-
Abstract
- We develop a framework suitable for obtaining simplicity criteria for reduced $C^*$-algebras of Hausdorff etale groupoids. This is based on the study of certain non-degenerate $C^*$-subalgebras (in the case of groupoids, the $C^*$-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 $C^*$-algebras by discrete groups.<br />Comment: 37 pages, revised version of arXiv:1805.11173 (minor typo fixes and changes in title, exposition and terminology)
- Subjects :
- Mathematics - Operator Algebras
46L35
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1805.11173
- Document Type :
- Working Paper