2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145868We prove simplicity and pure infiniteness results for a certain class of labelled graph $C^*$-algebras. We show, by example, that this class of unital labelled graph $C^*$-algebras is strictly larger than the class of unital graph $C^*$-algebras.18 pages, 4 figuresOperator AlgebrasDynamical Systems46L05, 37B10text