K-homology of certain group C*-algebras

2002/01/10 by Tom Hadfield, Hadfield, Tom · 1 citation
Mathematics · #19K33 #46L #58B34 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #math.KT #math.OA #msc:19K33 #msc:46L #msc:58B34

paper · pdf · doi:10.48550/arxiv.math/0201094

17 pages, AMS Latex, uses package Diagrams

arxiv created 2002/01/10 · openalex publication_date 2002/01/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motivated by the search for new examples of ``noncommutative manifolds'', we study the noncommutative geometry (in the sense of Connes) of the group C*-algebras of various discrete groups. The examples we consider are the infinite dihedral group Z ×_σ Z₂ and the semidirect product group Z ×_σ Z. We present a unified treatment of the K-homology and cyclic cohomology of these algebras.

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