Fredholm modules over graph C*-algebras

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.

arXiv comment14 pages

References in corpus (7)

• Symmetries of quantum spaces. Subgroups and quotient spaces of quantum $SU(2)$ and $SO(3)$ groups
• Computing K-theory and Ext for graph C*-algebras
• Pimsner algebras and Gysin sequences from principal circle actions
• Noncommutative Balls and Mirror Quantum Spheres
• Fredholm Modules for Quantum Euclidean Spheres
• Corners of graph algebras
• Computing Ext for graph algebras

Cited by in corpus (1)

• Graded $K$-theory and $K$-homology of relative Cuntz-Pimsner algebras and graph $C^{\ast }$-algebras