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DOI: 10.23671/VNC.2012.14.10969

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
Language: Russian Download the full text  
For citation: Juraev I. M. Structure of lie derivations on algebras of measurable operators. Vladikavkazskij matematicheskij zhurnal [Vladikavkaz Math. J.], 2012, vol. 14, no. 3, pp.58-62. DOI 10.23671/VNC.2012.14.10969


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