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FREDHOLM MODULES OVER GRAPH $C^{\ast }$-ALGEBRAS
Published online by Cambridge University Press: 19 June 2015
Abstract
We present two applications of explicit formulas, due to Cuntz and Krieger, for computations in $K$-homology of graph $C^{\ast }$-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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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 92 , Issue 2 , October 2015 , pp. 302 - 315
- Copyright
- © 2015 Australian Mathematical Publishing Association Inc.
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