Topological K-theory of the group C*-algebra of a semi-direct product Zⁿ rtimes Z/m for a free conjugation action

2011/09/07 by Martin Langer, Langer, Martin, Wolfgang Lueck +1
Mathematics · #19L47 #46L80 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #math.AT #math.KT #math.OA #msc:19L47 #msc:46L80

paper · pdf · doi:10.48550/arxiv.1109.1440

40 pages

arxiv created 2011/09/07 · openalex publication_date 2011/09/07 · arxiv updated 2011/09/08 · openalex created_date 2022/08/31 · openalex updated_date 2026/07/28

Abstract

We compute the topological K-theory of the group C*-algebra C*_r(G) for a group extension Zⁿ->G->Z/m provided that the conjugation action of Z/m on Zⁿ is free outside the origin.

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