W-absorbing actions of finite groups on the Razak-Jacelon algebra

2024/10/15 by Norio Nawata, Nawata, Norio
Mathematics · #46L40 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #Primary 46L55 #Secondary 46L35

paper · pdf · doi:10.48550/arxiv.2410.11213

openalex publication_date 2024/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We say that a countable discrete group action α on a C^*-algebra A is \textitW-absorbing if there exist a C^*-algebra B and an action β on B such that α is cocycle conjugate to β⊗ id_W on B⊗ W where W is the Razak-Jacelon algebra. In this paper, we completely classify outer W-absorbing actions of finite groups on W up to conjugacy and cocycle conjugacy.

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