2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113988We introduce the universal functorial equivariant Lefschetz invariant for endomorphisms of finite proper G-CW-complexes, where G is a discrete group. We use K_0 of the category of "phi-endomorphisms of finitely generated free RPi(G,X)-modules". We derive results about fixed points of equivariant endomorphisms of cocompact proper smooth G-manifolds.33 pages; shortened version of the author's PhD thesis, supervised by Wolfgang Lueck, Westfaelische Wilhelms-Universitaet Muenster, 2005Algebraic Topology18F30, 55M20 (Primary); 18F25, 19A99, 57R91 (Secondary)text