2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66730In this paper we discuss how the question about the rationality of L^2-Betti numbers is related to the Isomorphism Conjecture in algebraic K-theory and why in this context noncommutative localization appears as an important tool.28 pagesAlgebraic TopologyK-Theory and Homology46L80; 19A31; 47L60L^2-Betti numbers, isomorphism conjectures and noncommutative localizationtext