2-local Lie *-automorphisms on factors

被引：4

作者：

Liu, Lei ^{[1
,2
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian, Shaanxi, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2018年 / 66卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Automorphism; 2-local Lie *-automorphism; factor; LOCAL AUTOMORPHISMS; DERIVATIONS; ALGEBRAS; ISOMORPHISMS; HOMOMORPHISMS; THEOREM;

D O I：

10.1080/03081087.2017.1389852

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a factor which is not of type I-2. We prove that every surjective 2- local Lie *- automorphism Phi of A can be written in the form Phi = phi + h, where Phi : A -> A is an *- automorphism or the negative of an anti-*- automorphism, and h is a *- linear functional vanishing on all finite sums of commutators.

引用

页码：2208 / 2214

页数：7

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