Fredholm modules over certain group C*-algebras

Tom Hadfield

Fredholm modules over certain group C*-algebras

Operator Algebras 2016-09-07 v2 K-Theory and Homology

Authors: Tom Hadfield

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 ${\bf Z} \times_{\sigma} {\bf Z}_2$ 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.

Keywords

c*-algebras c*-algebra graph algebras

Cite

@article{arxiv.math/0101184,
  title  = {Fredholm modules over certain group C*-algebras},
  author = {Tom Hadfield},
  journal= {arXiv preprint arXiv:math/0101184},
  year   = {2016}
}

Comments

17 pages, AMSLaTeX, use package diagrams

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