Takai Duality for Crossed Products by Hilbert C*-bimodules

2007/09/07 by Beatriz Abadie, Abadie, Beatriz · 1 citation
Mathematics · #46L08 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.0709.1122

openalex publication_date 2007/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the crossed product by the dual action of the circle on the crossed product of a C*-algebra A by a Hilbert C*-bimodule X. When X is an A-A Morita equivalence bimodule, the double crossed product is shown to be Morita equivalent to the C*-algebra A.

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