A cohomological characterization of approximately finite dimensional von Neumann algebras
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For 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 1996
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 1996