Z-Stability of Crossed Products by Strongly Outer Actions

Hiroki Matui; Yasuhiko Sato

doi:10.1007/s00220-011-1392-9

Z-Stability of Crossed Products by Strongly Outer Actions

Hiroki Matui, Yasuhiko Sato

Research output: Contribution to journal › Article › peer-review

39 Citations (Scopus)

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.

Original language	English
Pages (from-to)	193-228
Number of pages	36
Journal	Communications in Mathematical Physics
Volume	314
Issue number	1
DOIs	https://doi.org/10.1007/s00220-011-1392-9
Publication status	Published - Jul 2012
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-011-1392-9

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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.",

author = "Hiroki Matui and Yasuhiko Sato",

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Z-Stability of Crossed Products by Strongly Outer Actions

Abstract

All Science Journal Classification (ASJC) codes

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