2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107379We study conditions on a $C^*$-dynamical system $(A,G,α)$ under which induction of primitive ideals (resp. irreducible representations) from stabilizers for the action of $G$ on the primitive ideal space $\Prim(A)$ give primitive ideals (resp. irreducible representations) of the crossed product $A\rtimes_αG$. The results build on earlier results of Sauvageot and others, and will correct a (possibly overly optimistic) statement of the first author.17 PagesOperator Algebras46L55text