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Geometric classification of simple graph algebras

Inspired by Franks' classification of irreducible shifts of finite type we provide a short list of allowed moves on graphs that preserves 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.

preprint2012arXivOpen access
Adam P. W. Sørensen
math.OAmath.DS
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Adam P. W. Sørensen

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