Nonlinear lie-type derivations of von neumann algebras and related topics

Ajda Fošner; Feng Wei; Zhankui Xiao

doi:10.4064/cm132-1-5

Nonlinear lie-type derivations of von neumann algebras and related topics

Ajda Fošner
, Feng Wei^*
, Zhankui Xiao

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

49 引用（Scopus）

摘要

Motivated by the powerful and elegant works of Miers (1971, 1973, 1978) we mainly study nonlinear Lie-type derivations of von Neumann algebras. Let A be a von Neumann algebra without abelian central summands of type I₁. It is shown that every nonlinear Lie n-derivation of A has the standard form, that is, can be expressed as a sum of an additive derivation and a central-valued mapping which annihilates each (n - 1)th commutator of A. Several potential research topics related to our work are also presented.

源语言	英语
页（从-至）	53-71
页数	19
期刊	Colloquium Mathematicum
卷	132
期	1
DOI	https://doi.org/10.4064/cm132-1-5
出版状态	已出版 - 2013

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Nonlinear lie-type derivations of von neumann algebras and related topics

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