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• W2578532666 abstract "This paper is devoted to derivations on the algebra S0(M, τ) of all τ -compact operators affiliated with a von Neumann algebra M and a faithful normal semi-finite trace τ. The main result asserts that every tτ -continuous derivation D : S0(M, τ) → S0(M, τ) is spatial and implemented by a τ -measurable operator affiliated with M ,w heretτ denotes the measure topology on S0(M, τ). We also show the automatic tτ -continuity of all derivations on S0(M, τ) for properly infinite von Neumann algebras M. Thus in the properly infinite case the condition of tτ -continuity of the derivation is redundant for its spatiality. Mathematics Subject Classification (2010). Primary 47B47; Secondary 46L51." @default.
• W2578532666 created "2017-01-26" @default.
• W2578532666 creator A5046354438 @default.
• W2578532666 date "2013-01-01" @default.
• W2578532666 modified "2023-09-23" @default.
• W2578532666 title "Spatiality of Derivations on the Algebra of τ-Compact Operators" @default.
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• W2578532666 hasPublicationYear "2013" @default.
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