2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70270We give a survey of the meaning, status and applications of the Baum-Connes Conjecture about the topological K-theory of the reduced group C^*-algebra and the Farrell-Jones Conjecture about the algebraic K- and L-theory of the group ring of a (discrete) group G.144 pagesK-Theory and Homology19A31, 19B28, 19D99, 19G24, 19K99, 46L80text