2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68675We prove that two quiver operator algebras can be isometrically isomorphic only if the quivers (=directed graphs) are isomorphic. We also show how the graph can be recovered from certain representations of the algebra.Latex fileOperator Algebras47L55, 47L75, 46K50text