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.

引用

页码：369 / 379

页数：11

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