Rohlin flows on the Cuntz algebra O_∞

2005/01/18 by Ola Bratteli, Bratteli, Ola, Akitaka Kishimoto +3
Mathematics · #46L55 #46L57 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.OA #msc:46L55 #msc:46L57

paper · pdf · doi:10.48550/arxiv.math/0501264

arxiv created 2005/01/18 · openalex publication_date 2005/01/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that certain quasi-free flows on the Cuntz algebra O_∞ have the Rohlin property and therefore are cocycle-conjugate with each other. This, in particular, shows that any unital separable nuclear purely infinite simple C*-algebra has a Rohlin flow.

Related

• Rohlin flows on von Neumann algebras
• Generic classification of the quasi-free flows on the Cuntz algebra O₂
• The Rohlin property for coactions of finite dimensional C^*-Hopf algebras on unital C^*-algebras
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• The nuclear dimension of C^*-algebras associated to topological flows and orientable line foliations