Primeness of generalized wreath product II1 factors

被引：0

作者：

Patchell, Gregory ^{[1
]}

机构：

[1] Univ Calif San Diego, Dept Math Sci, La Jolla, CA 92093 USA

来源：

MATHEMATISCHE ZEITSCHRIFT | 2025年 / 309卷 / 03期

基金：

美国国家科学基金会;

关键词：

Von Neumann algebras; II1; factors; Functional analysis; Operator algebras; Primeness; Generalized Bernoulli actions; Deformation/rigidity; VON-NEUMANN-ALGEBRAS; MALLEABLE ACTIONS; STRONG RIGIDITY; CLASSIFICATION; SUPERRIGIDITY; COMPUTATIONS; SUBALGEBRAS;

D O I：

10.1007/s00209-024-03666-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we investigate the primeness of generalized wreath product II(1 )factors using deformation/rigidity theory techniques. We give general conditions relating tensor decompositions of generalized wreath products to stabilizers of the associated group action and use this to find new examples of prime II(1 )factors.

引用

页数：23

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