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The Dixmier-Douady Class of Groupoid Crossed Products

2002/09/11 by Paul S. Muhly, Muhly, Paul S., Dana P. Williams +1
Mathematics · #46L55 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.OA #msc:46L55

paper · pdf · doi:10.48550/arxiv.math/0209125

9 Pages, LaTeX

arxiv created 2002/09/11 · openalex publication_date 2002/09/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a formula for the Dixmier-Douady class of a continuous-trace groupoid crossed product that arises from an action of a locally trivial, proper, principal groupoid on a bundle of elementary C^*-algebras that satisfies Fell's condition.

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