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Morita equivalences between fixed point algebras and crossed products

1997/09/11 by Chi–Keung Ng, Chi-Keung Ng, Ng, Chi-Keung
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #funct-an #math.OA #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.funct-an/9709002

14 pages, Latex; to appear in the Mathematical Proceedings of the Cambridge Philosophical Society

arxiv created 1997/09/11 · openalex publication_date 1997/09/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we will prove that if A is a C^*-algebra with an effective coaction ε by a compact quantum group, then the fixed point algebra and the reduced crossed product are Morita equivalent. As an application, we prove an imprimitivity type theorem for crossed products of coactions by discrete Kac C^*-algebras.

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