ON FUNDAMENTAL GROUPS OF TENSOR PRODUCT II1 FACTORS

被引：8

作者：

Isono, Yusuke ^{[1
]}

机构：

[1] Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2020年 / 19卷 / 04期

关键词：

functional analysis; von Neumann algebras; fundamental groups for II1 factors; W-RIGID GROUPS; EQUIVALENCE-RELATIONS; MALLEABLE ACTIONS; PRIME FACTORIZATION; NEUMANN; EXACTNESS; ALGEBRAS; INFINITY;

D O I：

10.1017/S1474748018000336

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a II1 factor and let F(M) denote the fundamental group of M. In this article, we study the following property of M : for any II1 factor B, we have F(M circle times B) = F(M)F(B). We prove that for any subgroup G <= R+* which is realized as a fundamental group of a II1 factor, there exists a II1 factor M which satisfies this property and whose fundamental group is G. Using this, we deduce that if G; H <= R+* are realized as fundamental groups of II1 factors, then so are groups G . H and G boolean AND H

引用

页码：1121 / 1139

页数：19

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