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arXiv · 1604.07147

Local derivations on measurable operators and commutativity

Shavkat Ayupov·Karimbergen Kudaybergenov
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Abstract

We prove that a von Neumann algebra $M$ is abelian if and only if the square of every derivation on the algebra $S(M)$ of measurable operators, affiliated with $M$, is a local derivation. We also show that for general associative unital algebras this is not true.

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Shavkat Ayupov, Karimbergen Kudaybergenov. 2016-04-25. Local derivations on measurable operators and commutativity. https://doi.org/10.1007/s40879-016-0118-0

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