Anantharaman-Delaroche

EFREN RUIZ

Renault

SARA E. ARKLINT

SØREN EILERS

Yeend

We characterize when there exists a diagonal-preserving$\ast$-isomorphism between two graph$C^{\ast }$-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$E$and$F$and show that this is a necessary and sufficient condition for the existence of a diagonal-preserving$\ast$-isomorphism between the graph$C^{\ast }$-algebras$C^{\ast }(E)$and$C^{\ast }(F)$.</jats:p

A dynamical characterization of diagonal-preserving -isomorphisms of graph -algebras

Abstract

Similar works

Full text

Available Versions

Crossref