FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Lie derivations on the algebra of measurable operators affiliated with a type I finite von Neumann algebra |
Ilkhom M. Juraev |
2013, issue 1, P. 43-51 |
Abstract |
| 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. |
Keywords: von Neumann algebra, measurable operator, type I von Neumann algebra, derivation, inner derivation, Lie derivation, center-valued trace |
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References |
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