2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185729We shall try to exhibit a relation between black hole entropy and topological entropy using the famous Baum-Connes conjecture for foliated manifolds which are particular examples of noncommutative spaces. Our argument is qualitative and it is based on the microscopic origin of the Beckenstein-Hawking area-entropy formula for black holes, provided by superstring theory, in the more general noncommutative geometric context of M-Theory following the Connes- Douglas-Schwarz article.17 pages, Latex, contains an important paragraph in section 2 which gives a better understandingMathematical PhysicsBlack Hole Entropy, Topological Entropy and the Baum-Connes Conjecture in K-Theorytext