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arxiv: 1608.03996 · v1 · pith:XGHNIGTMnew · submitted 2016-08-13 · 🧮 math.OA

Lie derivations on the algebras of locally measurable operators

classification 🧮 math.OA
keywords derivationlocallymeasurableoperatorsalgebrasassociativecenter-valuedderivations
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We prove that every Lie derivation on a solid $\star-$subalgebras of locally measurable operators it is equal to a sum of the associative derivation and the center-valued trace.

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