2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62843We construct the crossed product of a C(X)-algebra by an endomorphism, in such a way that it becomes induced by a Hilbert C(X)-bimodule. Furthermore we introduce the notion of C(X)-category, and discuss relationships with crossed products and duality for compact groups.16 pages, LaTex, use xyOperator Algebras46L05text