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Geometric classification of simple graph algebras

Published online by Cambridge University Press:  05 July 2012

ADAM P. W. SØRENSEN
ADAM P. W. SØRENSEN*
Affiliation:
Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen Ø, Denmark (email: [email protected])
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Abstract

Inspired by Franks’ classification of irreducible shifts of finite type, we provide a short list of allowed moves on graphs that preserve the stable isomorphism class of the associated $C^*$-algebras. We show that if two graphs have stably isomorphic and simple unital algebras then we can use these moves to transform one into the other.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 4 , August 2013 , pp. 1199 - 1220
Copyright
Copyright © 2012 Cambridge University Press 

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