Fredholm modules over certain group C*-algebras

Details Fredholm modules over certain group C*-algebras Fredholm modules over certain group C*-algebras

2001-01-23

arxiv.org/abs/math/0101184v2

Journal of Operator Theory, 51, no. 1, 141-160 (2004)

Mathematics

Operator Algebras

17 pages, AMSLaTeX, use package diagrams

Scientific paper

Motivated by the search for new examples of "noncommutative manifolds", we study the noncommutative geometry of the group C*-algebras of various discrete groups. The examples we consier are the infinite dihedral group ${\bf Z} \times_{\sigma} {\bf Z}_2$ and the semidirect product ${\bf Z} \times_{\sigma} {\bf Z}$. We present a unified treatment of the K-homology and cyclic cohomology of these algebras.

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