On automorphisms of finite von Neumann algebras leaving invariant some reflexive lattices

被引：0
|
作者：
Wu, Wenming [1 ]
Yuan, Wei [2 ,3 ]
机构：
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[3] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2017年 / 49卷 / 03期
关键词：
46L40; 46L54 (primary); OPERATORS;
D O I：
10.1112/blms.12032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a fixed double triangle lattice in a finite factor, we show that the subgroup of automorphisms of the factor leaving invariant the reflexive lattice generated by the double triangle lattice is isomorphic to a closed subgroup of SO(3). In particular, if the nontrivial projections in the lattice is free, then the group is explicitly determined as the symmetric group of 3 elements.
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页码：369 / 379
页数：11
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