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

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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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     author = {I. M. Juraev},
     title = {Lie derivations on the algebra of measurable operators affiliated with a type {I} finite von {Neumann} algebra},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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     volume = {13},
     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/DVMG_2013_13_1_a3/}
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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/