2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107398We review some applications of noncommutative geometry to the study of transverse geometry of Riemannian foliations and discuss open problems.35 pages, final version, minor changes, to appear in Proceedings of the Conference "Foliations-2005" (Lodz, Poland), World Scientific, Singapore, 2006Differential GeometrySpectral Theorytext