Quasi-free actions of finite groups on the Cuntz algebra O_∞

2010/12/01 by Pavle Goldstein, Goldstein, Pavle, Masaki Izumi +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1012.0089

openalex publication_date 2010/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that any faithful quasi-free actions of a finite group on the Cuntz algebra O_∞ are mutually conjugate, and that they are asymptotically representable.

Citations

• On the classification of nuclear C*-algebras

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• On crossed products of the Cuntz algebra \mathcal O_∞ by quasi-free actions of abelian groups
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• The ideal structures of crossed products of Cuntz algebras by quasi-free actions of abelian groups
• Freeness of actions of finite groups on C*-algebras