Fredholm Modules over Graph C∗-Algebras

Tyrone Crisp

doi:10.1017/S0004972715000556

Fredholm Modules over Graph C^∗-Algebras

Tyrone Crisp^*

^*Corresponding author af dette arbejde

Institut for Matematiske Fag

1 Citationer (Scopus)

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.

Originalsprog	Engelsk
Tidsskrift	Bulletin of the Australian Mathematical Society
Vol/bind	92
Udgave nummer	2
Sider (fra-til)	302-315
Antal sider	14
ISSN	0004-9727
DOI	https://doi.org/10.1017/S0004972715000556
Status	Udgivet - 2 sep. 2015

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10.1017/S0004972715000556

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Link to publication in Scopus

Citationsformater

Crisp, T. (2015). Fredholm Modules over Graph C^∗-Algebras. Bulletin of the Australian Mathematical Society, 92(2), 302-315. https://doi.org/10.1017/S0004972715000556

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