Nonlinear $*$-Lie higher derivations on factor von Neumann algebras

Authors

  • F. Zhang School of Science‎, ‎Xi'an University of Posts and Telecommunications‎, ‎Xi'an 710121‎, ‎P‎. ‎R. China.
  • J. ‎Zhang College of Mathematics and Information Science‎, ‎Shaanxi Normal University‎, ‎Xi'an 710062‎, ‎P‎. ‎R China.
  • X. Qi Department of Mathematics‎, ‎Shanxi University‎, ‎Taiyuan 030006‎, ‎P‎. ‎R. China.
Abstract:

Let $mathcal M$ be a factor von Neumann algebra. It is shown that every nonlinear $*$-Lie higher derivation$D={phi_{n}}_{ninmathbb{N}}$ on $mathcal M$ is additive. In particular, if $mathcal M$ is infinite type $I$factor, a concrete characterization of $D$ is given.

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Journal title

volume 42  issue 3

pages  659- 678

publication date 2016-06-01

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