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Strong commutativity preserving maps on Lie ideals

✍ Scribed by Jer-Shyong Lin; Cheng-Kai Liu


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
137 KB
Volume
428
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 β†’ ψ(A) + ΞΎ(A), where ψ : M β†’ N is an additive isomorphism or the negative of an additive anti-isomorphism and ΞΎ : M β†’ CI is a map wi