A cohomological characterization of approximately finite dimensional von Neumann algebras

Details A cohomological characterization of approximately finite dimensional von Neumann algebras A cohomological characterization of approximately finite dimensional von Neumann algebras

1997-01-24

arxiv.org/abs/funct-an/9701010v1

Mathematics

Operator Algebras

amstex, 6 pages, to be published in the proceedings of the conference `Operator Algebras and Quantum Field Theory` held at Acc

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

A cohomological characterization of approximately finite dimensional von Neumann algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A cohomological characterization of approximately finite dimensional von Neumann algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A cohomological characterization of approximately finite dimensional von Neumann algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-88048