1302.3927 (Zhaofang Bai et al.)

The automatic additivity of $ξ-$Lie derivations on von Neumann
algebras    [PDF]

Zhaofang Bai, Shuanping Du, Yu Guo

Let ${\mathcal M}$ be a von Neumann algebra with no central summands of type I$_1$. It is shown that every nonlinear $\xi-$Lie derivation ($\xi\neq 1$) on $\mathcal M$ is an additive derivation.

View original: http://arxiv.org/abs/1302.3927