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arXiv · 1408.0918

Fredholm modules over graph C*-algebras

Tyrone Crisp
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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.

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Tyrone Crisp. 2014-08-07. Fredholm modules over graph C*-algebras. https://doi.org/10.1017/s0004972715000556

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