K-homology of certain group C*-algebras
Tom Hadfield
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 ×σ Z2 and the semidirect product group Z ×σ Z. We present a unified treatment of the K-homology and cyclic cohomology of these algebras.
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