Continuity of derivations in algebras of locally measurable operators

Details Continuity of derivations in algebras of locally measurable operators Continuity of derivations in algebras of locally measurable operators

2011-08-27

arxiv.org/abs/1108.5427v1

Mathematics

Operator Algebras

17 pages

Scientific paper

We prove that any derivation of the *-algebra $LS(\mathcal{M})$ of all
locally measurable operators affiliated with a properly infinite von Neumann
algebra $\mathcal{M}$ is continuous with respect to the local measure topology
$t(\mathcal{M})$.

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