2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68241We prove the Farrell-Jones Isomorphism Conjecture about the algebraic K-theory of a group ring RG in the case where the group G is the fundamental group of a closed Riemannian manifold with strictly negative sectional curvature. The coefficient ring R is an arbitrary associative ring with unit and the result applies to all dimensions.46 pagesAlgebraic TopologyK-Theory and Homology19D99On the Farrell-Jones Conjecture for higher algebraic K-theorytext