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Applications of the Gauge-invariant uniqueness theorem for graph algebras

Published online by Cambridge University Press:  17 April 2009

Teresa Bates
Teresa Bates
Affiliation:
School of Mathematics, The University of New South Wales, Sydney, NSW 2052, Australia, e-mail: teresa@maths.unsw.edu.au
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Abstract

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We give applications of the gauge-invariant uniqueness theorem, which states that the Cuntz-Krieger algebras of directed graphs are characterised by the existence of a canonical action of . We classify the C*-algebras of higher order graphs, identify the C*-algebras of cartesian product graphs with a certain fixed point algebra and investigate a relation called elementary shift equivalence on graphs and its effect on the associated graph C*-algebras.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 1 , August 2002 , pp. 57 - 67
Copyright
Copyright © Australian Mathematical Society 2002

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