K-homology of certain group C*-algebras

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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_σ $Z_2$ and the semidirect product group $Z \times_σ Z$. We present a unified treatment of the K-homology and cyclic cohomology of these algebras.
17 pages, AMS Latex, uses package Diagrams

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Operator Algebras, K-Theory and Homology, 58B34, 19K33, 46L

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http://salesiana.dossiersoluciones.com/handle/123456789/63090

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201094
 http://arxiv.org/abs/math/0201094

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arXiv