This article is cited in 1 paper

Structure of Lie derivations on algebras of measurable operators

I. M. Juraev

National University of Uzbekistan, Uzbekistan, Tashkent

Abstract: We prove that every Lie derivation on algebras of measurable operators is of standard form, that is, it can be uniquely decomposed into the sum of a derivation and a center-valued trace.

Key words: von Neumann algebras, measurable operator, type I von Neumann algebras, derivation, inner derivation, Lie derivation, center-valued trace.

UDC: 512.54

Received: 23.09.2011