A Note on the Representation Theory of Fell Bundles

1999/04/05 by Ruy Exel, Exel, Ruy · 1 citation
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Operator Algebras (math.OA) #Random Matrices and Applications #math.OA

paper · pdf · doi:10.48550/arxiv.math/9904013

Plain TeX, 5 pages, no figures

arxiv created 1999/04/05 · openalex publication_date 1999/04/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that every Fell bundle B over a locally compact group G is "proper" in a sense recently introduced by Ng. Combining our results with those of Ng we show that if B satisfies the "approximation property" then it is amenable in the sense that the full and reduced cross-sectional C*-algebras coincide.

Cited by

• Morita-Rieffel Equivalence and Spectral Theory for Integrable Automorphism Groups of C*-Algebras

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