nonlinear $*$-lie higher derivations on factor von neumann algebras
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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:
bulletin of the iranian mathematical societyجلد ۴۲، شماره ۳، صفحات ۶۵۹-۶۷۸
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