2-LOCAL *-LIE AUTOMORPHISMS OF SEMI-FINITE FACTORS

被引：2
|
作者：
Fang, Xiaochun [1 ]
Zhao, Xingpeng [1 ]
Yang, Bing [1 ]
机构：
[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
来源：
OPERATORS AND MATRICES | 2019年 / 13卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Factor; *-Lie automorphism; 2-local; LOCAL AUTOMORPHISMS; DERIVATIONS; ISOMORPHISMS; ALGEBRAS;
D O I：
10.7153/oam-2019-13-53
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let M be a semi-finite von Neumann algebra factor on a complex Hilbert space H with dimension greater than 3. Then every surjective 2-local *-Lie automorphism phi of M is of the form phi = psi + tau where psi is a *-automorphism or the negative of a *-anti-automorphism of M, and tau is a mapping from M into CI vanishing on every sum of commutators.
引用
收藏
页码：745 / 759
页数：15
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