Z-Stability of Crossed Products by Strongly Outer Actions

Hiroki Matui, Yasuhiko Sato

Research output: Contribution to journalArticle

26 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 languageEnglish
Pages (from-to)193-228
Number of pages36
JournalCommunications in Mathematical Physics
Volume314
Issue number1
DOIs
Publication statusPublished - Jul 1 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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