2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64701This is a survey article describing the proof that the crossed product C^* (Z, M, h) of a compact smooth manifold M by a minimal diffeomorphism h of M is isomorphic to a direct limit of recursive subhomogeneous C*-algebras.20 pages, AMSLaTeX. To appear in the proceedings of the US-Japan Operator Algebra Conference in Fukuoka (1999). Some conjectures in this survey have since been provedOperator Algebras46L55 (Primary) 19K14, 46L35, 46L80 (Secondary)text