2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172456It is shown that no local periodicity is equivalent to the aperiodicity condition for arbitrary finitely-aligned k-graphs. This allows us to conclude that C*(Λ) is simple if and only if Λis cofinal and has no local periodicity.12 pagesOperator Algebras46L05 (Primary), 05C99 (Secondary)Simplicity of finitely-aligned k-graph C*-algebrastext