Geodesic
Continuous Derivations on $*$-Algebras of $\tau$-Measurable Operators Are Inner
Matematičeskie zametki, Tome 93 (2013) no. 5, pp. 658-664

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It is proved that every continuous derivation on the $*$-algebra $S(\mathcal{M},\tau)$ of all $\tau$-measurable operators affiliated with a von Neumann algebra $\mathcal{M}$ is inner. For every properly infinite von Neumann algebra $\mathcal{M}$, any derivation on the $*$-algebra $S(\mathcal{M},\tau)$ is inner.
Keywords: von Neumann algebra, properly infinite, $\tau$-measurable operator, continuous derivation. 
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     author = {A. F. Ber},
     title = {Continuous {Derivations} on $*${-Algebras} of $\tau${-Measurable} {Operators} {Are} {Inner}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {658--664},
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     volume = {93},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_93_5_a1/}
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A. F. Ber. Continuous Derivations on $*$-Algebras of $\tau$-Measurable Operators Are Inner. Matematičeskie zametki, Tome 93 (2013) no. 5, pp. 658-664. http://geodesic.mathdoc.fr/item/MZM_2013_93_5_a1/