2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139848These extended notes are based on a series of six lectures presented at the summer school ``Cohomology of groups and algebraic $K$-theory'' which took place in Hangzhou, China from July 1 until July 12 in 2007. They give an introduction to the Farrell-Jones and the Baum-Connes Conjecture.58 pagesK-Theory and Homology19A31, 19B28, 19D99, 19G24,text