2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152418For a von Neumann algebra M on a Hilbert space, A. Connes has constructed a module S and a derivation of M into S, such that M is approximately finite dimensional if and only if that derivation is inner. The paper contains a generalization of this result to the situation with a 2-cocycle instead. The cocycle is the obvious generalization, and the module is closely related to Connes, but isn't a dual module.amstex, 6 pages, to be published in the proceedings of the conference `Operator Algebras and Quantum Field Theory` held at Accademia Nazionale dei Lincei, Rome, Italy, July 1996Functional AnalysisOperator Algebrastext