2-Local Lie derivations on semi-finite factor von Neumann algebras
Lei LiuSchool of Mathematics and Statistics, Xidian University, Xi’an, P.R. China.; School of Mathematical Sciences, Fudan University, Shanghai, P.R. China
2015en
ABI
Abstract
Let be a semi-finite von Neumann algebra factor with dimension greater than 4. We prove that every 2-local Lie derivation of can be written in the form for all , where T is an element in , and is a homogeneous map satisfying for every and every commutator .
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