A dynamical characterization of diagonal preserving $*$-isomorphisms of graph $C^*$-algebras
Operator Algebras
2018-03-02 v1
Abstract
We characterize when there exists a diagonal preserving -isomorphism between two graph -algebras in terms of the dynamics of the boundary path spaces. In particular, we refine the notion of "orbit equivalence" between the boundary path spaces of the directed graphs and and show that this is a necessary and sufficient condition for the existence of a diagonal preserving -isomorphism between the graph -algebras and .
Keywords
Cite
@article{arxiv.1605.01202,
title = {A dynamical characterization of diagonal preserving $*$-isomorphisms of graph $C^*$-algebras},
author = {Sara E. Arklint and Søren Eilers and Efren Ruiz},
journal= {arXiv preprint arXiv:1605.01202},
year = {2018}
}