2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170392We study an analogue of fibrations of topological spaces with the homotopy lifting property in the setting of C*-algebra bundles. We then derive an analogue of the Leray-Serre spectral sequence to compute the K-theory of the fibration in terms of the cohomology of the base and the K-theory of the fibres. We present many examples which show that fibrations with noncommutative fibres appear in abundance in nature.40 pagesK-Theory and HomologyOperator Algebras19K35; 46L55; 46L80; 46L85text