K-homology of certain group C*-algebras

Details K-homology of certain group C*-algebras K-homology of certain group C*-algebras

2002-01-10

arxiv.org/abs/math/0201094v1

Mathematics

Operator Algebras

17 pages, AMS Latex, uses package Diagrams

Scientific paper

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 \times_{\sigma} $Z_2$ and the semidirect product group $Z \times_{\sigma} Z$. We present a unified treatment of the K-homology and cyclic cohomology of these algebras.

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