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
收藏
页码：2208 / 2214
页数：7
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