Local derivations on Rings containing a von Neumann algebra and a question of Kadison

Abstract

We prove that if M is a von Neumann algebra whose abelian summand is discrete, then every local derivation on the algebra of all measurable operators affilated with M is a derivation. This answers a question of Richard Kadison.

Cited by in corpus (4)

• Local And 2-Local Derivations On Algebras Of Measurable Operators
• Local Lie derivations on von Neumann algebras and algebras of locally measurable operators
• 2-Local derivations on matrix algebras and algebras of measurable operators
• Local Lie $n$-derivations on certain algebras