Continuous derivations on *-algebras of τ-measurable operators are inner

Abstract

It is proved that every continuous derivation on the *-algebra S(M, τ) of all τ-measurable operators affiliated with a von Neumann algebra M is inner. For every properly infinite von Neumann algebra M, any derivation on the *-algebra S(M, τ) is inner.

Identifiers

DOI

10.1134/s0001434613050027

Citations and references