2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70278We prove that the notion of relative property (T) (or rigidity) for inclusions of finite von Neumann algebras defined in [Po1] is equivalent to a weaker property, in which no ``continuity constants'' are required. The proof is by contradiction and uses infinite products of completely positive maps, regarded as correspondences.12 pages; additions on 03/17/04, 15 pagesOperator Algebras46L10, 22D25, 22D10text