The Rohlin property for automorphisms of the Jiang-Su algebra

Yasuhiko Sato

doi:10.1016/j.jfa.2010.04.006

The Rohlin property for automorphisms of the Jiang-Su algebra

Yasuhiko Sato

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

38 Citations (Scopus)

Abstract

For projectionless C*-algebras absorbing the Jiang-Su algebra tensorially, we study a kind of the Rohlin property for automorphisms. We show that the crossed products obtained by automorphisms with this Rohlin property also absorb the Jiang-Su algebra tensorially under a mild technical condition on the C*-algebras. In particular, for the Jiang-Su algebra we show the uniqueness up to outer conjugacy of the automorphism with this Rohlin property.

Original language	English
Pages (from-to)	453-476
Number of pages	24
Journal	Journal of Functional Analysis
Volume	259
Issue number	2
DOIs	https://doi.org/10.1016/j.jfa.2010.04.006
Publication status	Published - Jul 2010
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis

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10.1016/j.jfa.2010.04.006

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abstract = "For projectionless C*-algebras absorbing the Jiang-Su algebra tensorially, we study a kind of the Rohlin property for automorphisms. We show that the crossed products obtained by automorphisms with this Rohlin property also absorb the Jiang-Su algebra tensorially under a mild technical condition on the C*-algebras. In particular, for the Jiang-Su algebra we show the uniqueness up to outer conjugacy of the automorphism with this Rohlin property.",

author = "Yasuhiko Sato",

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The Rohlin property for automorphisms of the Jiang-Su algebra

Abstract

All Science Journal Classification (ASJC) codes

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