Fell bundles and imprimitivity theorems: towards a universal generalized fixed point algebra

2012/06/28 by S. Kaliszewski, Kaliszewski, S., Paul S. Muhly +5
Mathematics · #18A25 (Secondary) #46L55 (Primary) 46M15 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1206.6739

openalex publication_date 2012/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We apply the One-Sided Action Theorem from the first paper in this series to prove that Rieffel's Morita equivalence between the reduced crossed product by a proper saturated action and the generalized fixed-point algebra is a quotient of a Morita equivalence between the full crossed product and a "universal" fixed-point algebra. We give several applications, to Fell bundles over groups, reduced crossed products as fixed-point algebras, and C*-bundles.

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