Structure of lie derivations on algebras of measurable operators

Juraev I. M.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 3.

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.

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

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