Geometric classification of simple graph algebras

Details Geometric classification of simple graph algebras Geometric classification of simple graph algebras

2011-11-07

arxiv.org/abs/1111.1592v2

Mathematics

Operator Algebras

19 pages

Scientific paper

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.

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