English

Fredholm modules over graph C*-algebras

Operator Algebras 2015-06-24 v2 K-Theory and Homology

Abstract

We present two applications of explicit formulas, due to Cuntz and Krieger, for computations in K-homology of graph C*-algebras. We prove that every K-homology class for such an algebra is represented by a Fredholm module having finite-rank commutators; and we exhibit generating Fredholm modules for the K-homology of quantum lens spaces.

Keywords

Cite

@article{arxiv.1408.0918,
  title  = {Fredholm modules over graph C*-algebras},
  author = {Tyrone Crisp},
  journal= {arXiv preprint arXiv:1408.0918},
  year   = {2015}
}

Comments

14 pages

R2 v1 2026-06-22T05:20:35.477Z