English

The noncommutative geometry of the discrete Heisenberg group

Operator Algebras 2008-10-13 v1 K-Theory and Homology

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*-algebra of the three dimensional discrete Heisenberg group. We present a unified treatment of the K-homology, cyclic cohomology and derivations of this algebra.

Keywords

Cite

@article{arxiv.math/0201093,
  title  = {The noncommutative geometry of the discrete Heisenberg group},
  author = {Tom Hadfield},
  journal= {arXiv preprint arXiv:math/0201093},
  year   = {2008}
}

Comments

23 pages, AMS Latex, uses Diagrams package