Local and 2-Local derivations on noncommutative Arens algebras

Details Local and 2-Local derivations on noncommutative Arens algebras Local and 2-Local derivations on noncommutative Arens algebras

2011-10-07

arxiv.org/abs/1110.1557v1

Mathematics

Operator Algebras

13 pages

Scientific paper

The paper is devoted to so-called local and 2-local derivations on the noncommutative Arens algebra $L^\omega(M, \tau)$ associated with a von Neumann algebra $M$ and a faithful normal semi-finite trace $\tau.$ We prove that every 2-local derivation on $L^\omega(M, \tau)$ is a spatial derivation, and if $M$ is a finite von Neumann algebra, then each local derivation on $L^\omega(M, \tau)$ is also a spatial derivation and every 2-local derivation on $M$ is in fact an inner derivation.

Affiliated with

Also associated with

No associations

Rating

Local and 2-Local derivations on noncommutative Arens 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 Local and 2-Local derivations on noncommutative Arens algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local and 2-Local derivations on noncommutative Arens algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-133342