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Z-stability of crossed products by strongly outer actions
- Publication Year :
- 2009
-
Abstract
- We consider a certain class of unital simple stably finite C^*-algebras which absorb the Jiang-Su algebra Z tensorially. Under a mild assumption, we show that the crossed product of a C^*-algebra in this class by a strongly outer action of Z^N or a finite group is Z-stable. As an application, we also prove that all strongly outer actions of Z^2 on Z are mutually cocycle conjugate.
- Subjects :
- Mathematics - Operator Algebras
46L40, 46L55
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0912.4804
- Document Type :
- Working Paper