Geometric classification of simple graph algebras
Operator Algebras
2012-05-14 v3 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1111.1592,
title = {Geometric classification of simple graph algebras},
author = {Adam P. W. Sørensen},
journal= {arXiv preprint arXiv:1111.1592},
year = {2012}
}
Comments
20 pages, minor errors corrected