A class of II1factors with exactly two group measure space decompositions

被引：18

作者：

Krogager, Anna Sofie ^{[1
]}

Vaes, Stefaan ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Dept Math, Leuven, Belgium

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2017年 / 108卷 / 01期

基金：

欧洲研究理事会;

关键词：

von Neumann algebra; II1; factor; Group measure space decomposition; Deformation/Rigidity theory; W-RIGID GROUPS; II1; FACTORS; MALLEABLE ACTIONS; SUPERRIGIDITY;

D O I：

10.1016/j.matpur.2016.10.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct the first II1 factors having exactly two group measure space decompositions up to unitary conjugacy. Also, for every positive integer n, we construct a II1 factor M that has exactly n group measure space decompositions up to conjugacy by an automorphism. (C) 2016 Elsevier Masson SAS. All rights reserved.

引用

页码：88 / 110

页数：23

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