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Fell bundles and imprimitivity theorems: Mansfield's and Fell's theorems

2012/07/25 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) #math.OA #msc:18A25 #msc:46L55 #msc:46M15

paper · pdf · doi:10.48550/arxiv.1207.6095

updated references

openalex publication_date 2012/07/25 · arxiv created 2013/03/19 · arxiv updated 2013/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the third and latest paper in this series, we recover the imprimitivity theorems of Mansfield and Fell using our technique of Fell bundles over groupoids. Also, we apply the Rieffel Surjection of the first paper in the series to relate our version of Mansfield's theorem to that of an Huef and Raeburn, and to give an automatic amenability result for certain transformation Fell bundles.

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