Co-representations of Hopf-von Neumann algebras on operator spaces other than column Hilbert space

Details Co-representations of Hopf-von Neumann algebras on operator spaces other than column Hilbert space Co-representations of Hopf-von Neumann algebras on operator spaces other than column Hilbert space

2009-10-12

arxiv.org/abs/0910.2262v1

Bull. Austral. Math. Soc. 82 (2010), 205-210

Mathematics

Operator Algebras

7 pages

Scientific paper

Recently, M. Daws introduced a notion of co-representation of abelian Hopf--von Neumann algebras on general reflexive Banach spaces. In this note, we show that this notion cannot be extended beyond subhomogeneous Hopf--von Neumann algebras. The key is our observation that, for a von Neumann algebra $\M$ and a reflexive operator space $E$, the normal spatial tensor product $\M \bar{\tensor} \CB(E)$ is a Banach algebra if and only if $\M$ is subhomogeneous or $E$ is completely isomorphic to column Hilbert space.

Affiliated with

Also associated with

No associations

Rating

Co-representations of Hopf-von Neumann algebras on operator spaces other than column Hilbert space 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 Co-representations of Hopf-von Neumann algebras on operator spaces other than column Hilbert space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Co-representations of Hopf-von Neumann algebras on operator spaces other than column Hilbert space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-639790