1997/06/17 by Siegfried Echterhoff, Echterhoff, Siegfried, Dana P. Williams +1
Computer Science · Mathematics · #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #funct-an #math.OA
paper · pdf · doi:10.48550/arxiv.funct-an/9706003
41 pages AMS-LaTeX -- sequel to funct-an/9706002
arxiv created 1997/06/17 · openalex publication_date 1997/06/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Suppose that G has a representation group H, that Gab:= G/[G,G] is compactly generated, and that A is a \cs-algebra for which the complete regularization of \Prim(A) is a locally compact Hausdorff space X. In a previous article, we showed that there is a bijection α↦ (Zα,fα) between the collection of exterior equivalence classes of locally inner actions α:G→\Aut(A), and the collection of principal \hgab-bundles Zα together with continuous functions fα:X→ H2(G,\T). In this paper, we compute the crossed products A\rtimesαG in terms of the data Zα, fα, and~\cs(H).