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arXiv · 0710.4478

Innerness of Derivations on Subalgebras of Measurable Operators

Sh. A. Ayupov·K. K. Kudaybergenov
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Abstract

Given a von Neumann algebra $M$ with a faithful normal semi-finite trace $τ,$ let $L(M, τ)$ be the algebra of all $τ$-measurable operators affiliated with $M.$ We prove that if $A$ is a locally convex reflexive complete metrizable solid $\ast$-subalgebra in $L(M, τ),$ which can be embedded into a locally bounded weak Fréchet $M$-bimodule, then any derivation on $A$ is inner.

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Sh. A. Ayupov, K. K. Kudaybergenov. 2007-10-24. Innerness of Derivations on Subalgebras of Measurable Operators. https://arxiv.org/abs/0710.4478

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