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K-homology of certain group C*-algebras

Tom Hadfield
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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_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.

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Tom Hadfield. 2002-01-10. K-homology of certain group C*-algebras. https://arxiv.org/abs/math/0201094

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