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DOI: 10.23671/VNC.2016.1.5937

\(\xi\)-Lie Derivations on Algebras of Locally Measurable Operators

Juraev I. M.
Vladikavkaz Mathematical Journal 2016. Vol. 18. Issue 1.
Abstract:
We study \(\xi\)-Lie derivations on algebras of locally measurable operators \(LS(M)\), where \(M\) is a von Neumann algebra without central summands of type \(I_{1}\).
Keywords: von Neumann algebra, locally measurable operator, derivation, Lie derivations, \(\xi\)-Lie derivations, center valued trace
Language: Russian Download the full text  
For citation: †Juraev I. M. \(\xi\)-Lie derivations on algebras of locally measurable operators // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 19, no. 1, pp. 26-35. DOI 10.23671/VNC.2016.1.5937
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