Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Local and 2-Local derivations on noncommutative Arens algebras (1110.1557v1)

Published 7 Oct 2011 in math.OA

Abstract: 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.

Summary

We haven't generated a summary for this paper yet.