A classification of all finite index subfactors for a class of group-measure space II1 factors

被引：7

作者：

Deprez, Steven ^{[1
]}

Vaes, Stefaan ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Dept Math, B-3001 Louvain, Belgium

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2011年 / 5卷 / 04期

基金：

比利时弗兰德研究基金会;

关键词：

Rigidity for von Neumann algebras; II1; factors; subfactors; group-measure space construction; W-RIGID GROUPS; MALLEABLE ACTIONS; SUPERRIGIDITY; COMPUTATIONS;

D O I：

10.4171/JNCG/85

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a amily of group-measure space II1 factors for which all finite index subfactors can be explicitly listed. In particular, the set of all indices of irreducible subfactors can be computed. Concrete examples show that this index set can be any set of natural numbers that is closed under taking divisors and least common multiples.

引用

页码：523 / 545

页数：23

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