A non-commutative Amir-Cambern theorem for von Neumann algebras

Details A non-commutative Amir-Cambern theorem for von Neumann algebras A non-commutative Amir-Cambern theorem for von Neumann algebras

2011-08-09

arxiv.org/abs/1108.1970v1

Mathematics

Operator Algebras

9 pages, submitted

Scientific paper

We prove that if two von Neumann algebras are sufficiently close in the
Banach-Mazur cb-distance (up to a universal constant), then they are
isomorphic. We also prove that the length of a C*-algebra is stable under
perturbations by cb-isomorphisms with small bound. Both results rely on the
fact that almost completely isometric maps are almost multiplicative.

Affiliated with

Also associated with

No associations

Rating

A non-commutative Amir-Cambern theorem for 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 non-commutative Amir-Cambern theorem for von Neumann algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A non-commutative Amir-Cambern theorem for von Neumann algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-70502