Additive derivations on generalized Arens algebras
Sergio AlbeverioCERFIM, Locarno, SwitzerlandSh. A. AyupovInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Dormon Yoli str. 29, 100125, Tashkent, UzbekistanR. Z. AbdullaevInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Dormon Yoli str. 29, 100125, Tashkent, UzbekistanKarimbergen KudaybergenovKarakalpak state university, Ch Abdirov str. 1, 142012, Nukus, Uzbekistan
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Given a vonNeumann algebra M with a faithful normal finite trace τ denote by L Λ(M,τ) the generalized Arens algebra with respect to M. We give a complete description of all additive derivations on the algebra L Λ(M,τ). In particular each additive derivation on the algebra L Λ(M,τ), where M is a type II von Neumann algebra, is inner.
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