Continuous Fell Bundles Associated to Measurable Twisted Actions

1995/06/21 by Ruy Exel, Exel, Ruy, Marcelo Laca +1
Mathematics · Medicine · #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications #Operator Algebras (math.OA) #funct-an #math.OA

paper · pdf · doi:10.48550/arxiv.funct-an/9506005

6 pages, plain TeX, no figures

arxiv created 1995/06/21 · openalex publication_date 1995/06/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a measurable twisted action of a second-countable, locally compact group G on a separable C*-algebra A, we prove the existence of a topology on AxG making it a continuous bundle, whose cross sectional C*-algebra is isomorphic to the Busby--Smith--Packer--Raeburn crossed product.

Related

• Twisted Partial Actions, A Classification of Stable C*-Algebraic Bundles (Preliminary Version)
• C^*-Algebraic Covariant Structures
• Coactions and Fell bundles
• Crossed products of C*-algebras for singular actions
• Crossed products of locally C*-algebras and Morita equivalence