Geodesic
Lie derivations on the algebra of measurable operators affiliated with a type I finite von Neumann algebra
Dalʹnevostočnyj matematičeskij žurnal, Tome 13 (2013) no. 1, pp. 43-51 
I. M. Juraev. Lie derivations on the algebra of measurable operators affiliated with a type I finite von Neumann algebra. Dalʹnevostočnyj matematičeskij žurnal, Tome 13 (2013) no. 1, pp. 43-51. http://geodesic.mathdoc.fr/item/DVMG_2013_13_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $M$ be a type I finite von Neumann algebra and let $S(M)$ be the algebra of all measurable operators affiliated with $M$. We prove that every Lie derivation on $S(M)$ has standard form, that is, it is decomposed into the sum of a derivation and a center-valued trace.

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