# Continuity of derivations in algebras of locally measurable operators

Mathematics – Operator Algebras

Scientific paper

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

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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