English

K-homology of certain group C*-algebras

Operator Algebras 2007-05-23 v1 K-Theory and Homology

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 \times_{\sigma} Z2Z_2 and the semidirect product group Z×σZZ \times_{\sigma} Z. We present a unified treatment of the K-homology and cyclic cohomology of these algebras.

Keywords

Cite

@article{arxiv.math/0201094,
  title  = {K-homology of certain group C*-algebras},
  author = {Tom Hadfield},
  journal= {arXiv preprint arXiv:math/0201094},
  year   = {2007}
}

Comments

17 pages, AMS Latex, uses package Diagrams