2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224596The Bass trace conjectures are placed in the setting of homotopy idempotent selfmaps of manifolds. For the strong conjecture, this is achieved via a formulation of Geoghegan. The weaker form of the conjecture is reformulated as a comparison of ordinary and L^2-Lefschetz numbers.This is the version published by Geometry & Topology Monographs on 29 January 2007Geometric TopologyAlgebraic Topology19A31,54H25,55M20,58C30,46L10,57N50text