A dynamical characterization of diagonal preserving $\ast$-isomorphisms of graph $C^{\ast }$-algebras

Sara E. Arklint, Søren Eilers, Efren Ruiz

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 ref…