Characterizations of local Lie derivations on von Neumann algebras

Characterizations of local Lie derivations on von Neumann algebras

In this paper, we prove that every local Lie derivation on von Neumann algebras is a Lie derivation; and we show that if M is a type I von Neumann algebra with an atomic lattice of projections, then every local Lie derivation on LS(M) is a Lie derivation.

Bibliographic Details
Main Authors: Guangyu An, Xueli Zhang, Jun He, Wenhua Qian
Format: Article
Language:English
Published: AIMS Press 2022-02-01
Series:AIMS Mathematics
Subjects:
lie derivation
local lie derivation
von neumann algebra
locally measurable operator
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022422?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/math.2022422?viewType=HTML

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