Noncommutative joinings II

被引：3

作者：

Bannon, Jon ^{[1
]}

Cameron, Jan ^{[2
]}

Mukherjee, Kunal ^{[3
]}

机构：

[1] Siena Coll, Dept Math, 515 Loudon Rd, Loudonville, NY 12211 USA

[2] Vassar Coll, Dept Math & Stat, Poughkeepsie, NY 12604 USA

[3] Indian Inst Technol Madras, Chennai 600036, Tamil Nadu, India

来源：

GROUPS GEOMETRY AND DYNAMICS | 2021年 / 15卷 / 02期

关键词：

von Neumann algebras; ergodic theory; joinings;

D O I：

10.4171/GGD/606

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a continuation of the authors' previous work on noncommutative joinings, and contains a study of relative independence of W*-dynamical systems. We prove that, given any separable locally compact group G, an ergodic W*-dynamical G-system M with compact subsystem N is disjoint relative to N from its maximal compact subsystem M-K if and only if N congruent to M-K. This generalizes recent work of Duvenhage, which established the result for G abelian.

引用

页码：553 / 575

页数：23

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