Mathematics – Rings and Algebras
Scientific paper
2012-02-20
Mathematics
Rings and Algebras
11pages
Scientific paper
Let $A$ be a von Neumann algebra with no central summands of type $I_1$. We
will show that every nonlinear Lie $n$-derivation on $A$ is of the standard
form, i.e. it can be expressed as a sum of an additive derivation and a
central-valued mapping which annihilates each $(n-1)$-th commutator of $A$.
Lin Zengqiang
Wei Feng
Xiao Zhankui
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