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Nonlinear ∗-Lie derivations on factor von Neumann algebras

✍ Scribed by Weiyan Yu; Jianhua Zhang


Book ID
113772407
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
276 KB
Volume
437
Category
Article
ISSN
0024-3795

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In this paper, we prove that every bijective map preserving Lie products from a factor von Neumann algebra M into another factor von Neumann algebra N is of the form A → ψ(A) + ξ(A), where ψ : M → N is an additive isomorphism or the negative of an additive anti-isomorphism and ξ : M → CI is a map wi