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On graph C*-algebras

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  09 April 2009

P. Goldstein
P. Goldstein
Affiliation:
School of Mathematics, Cardiff UniversityP.O.Box 926, cardiff CF24 4YH e-mail: goldsteinp@cardiff.ac.uk
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Abstract

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Certain C*-algebras on generators and relations are associated to directed graphs. For a finite graph γ, C*-algebra is canonically isomorphic to Cuntz-Krieger algebra corresponding to the adjacency matrix of γ. It is shown that if a countably infinite graph γ is strongly connected, γ is simple and purely infinite.

MSC classification

Secondary: 46L05: General theory of $C^*$-algebras 46L35: Classifications of $C^*$-algebras
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 72 , Issue 2 , April 2002 , pp. 153 - 160
Copyright
Copyright © Australian Mathematical Society 2002

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