Finite group actions on certain stably projectionless C*-algebras with the Rohlin property

2013/08/02 by Norio Nawata, Nawata, Norio · 1 citation
Mathematics · #46L40 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #Primary 46L55 #Secondary 46L35 #math.OA #msc:46L35 #msc:46L40 #msc:46L55

paper · pdf · doi:10.48550/arxiv.1308.0429

21 pages

arxiv created 2013/08/02 · openalex publication_date 2013/08/02 · arxiv updated 2013/08/05 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We introduce the Rohlin property and the approximate representability for finite group actions on stably projectionless C*-algebras and study their basic properties. We give some examples of finite group actions on the Razak-Jacelon algebra and show some classification results of these actions. This study is based on the work of Izumi, Robert's classification theorem and Kirchberg's central sequence C*-algebras.

Cited by

• The relative radius of comparison of the crossed product of a non-unital C*-algebra by a finite group

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• Rohlin actions of finite groups on the Razak-Jacelon algebra
• Crossed product by actions of finite groups with the Rokhlin Property
• Freeness of actions of finite groups on C*-algebras
• The tracial Rokhlin property for actions of finite groups on C*-algebras
• Crossed product C*-algebras by finite group actions with the projection free tracial Rokhlin property