Fredholm modules over certain group C*-algebras

Abstract

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 $\mathbf{Z}{\times }_{\sigma }{\mathbf{Z}}_2$ and the semidirect product $\mathbf{Z}{\times }_{\sigma }\mathbf{Z}$. We present a unified treatment of the K-homology and cyclic cohomology of these algebras.

17 pages, AMSLaTeX, use package diagrams

References in corpus (2)

• Quantum symmetry groups of noncommutative spheres
• The noncommutative geometry of the discrete Heisenberg group

Cited by in corpus (2)

• Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics
• Topological Spectral Bands with Frieze Groups