The classification problem for von Neumann factors

Details The classification problem for von Neumann factors The classification problem for von Neumann factors

2009-03-25

arxiv.org/abs/0903.4484v1

Mathematics

Operator Algebras

To appear in the Journal of Functional Analysis

Scientific paper

We prove that it is not possible to classify separable von Neumann factors of types $\II_1$, $\II_\infty$ or $\III_\lambda$, $0\leq \lambda\leq1$, up to isomorphism by a Borel measurable assignment of "countable structures" as invariants. In particular the isomorphism relation of type $\II_1$ factors is not smooth. We also prove that the isomorphism relation for von Neumann $\II_1$ factors is analytic, but is not Borel.

Affiliated with

Also associated with

No associations

Rating

The classification problem for von Neumann factors 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 The classification problem for von Neumann factors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The classification problem for von Neumann factors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-63931