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 MK if and only if N≅MK. This generalizes recent work of Duvenhage, which established the result for G abelian.
1
Siena College, Loudonville, USA
2
Vassar College, Poughkeepsie, USA
3
Indian Institute of Technology Madras, Chennai, India
Jon Bannon; Jan Cameron; Kunal Mukherjee. Noncommutative joinings II. Groups, geometry, and dynamics, Tome 15 (2021) no. 2, pp. 553-575. doi: 10.4171/ggd/606
@article{10_4171_ggd_606,
author = {Jon Bannon and Jan Cameron and Kunal Mukherjee},
title = {Noncommutative joinings {II}},
journal = {Groups, geometry, and dynamics},
pages = {553--575},
year = {2021},
volume = {15},
number = {2},
doi = {10.4171/ggd/606},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/606/}
}
TY - JOUR
AU - Jon Bannon
AU - Jan Cameron
AU - Kunal Mukherjee
TI - Noncommutative joinings II
JO - Groups, geometry, and dynamics
PY - 2021
SP - 553
EP - 575
VL - 15
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/606/
DO - 10.4171/ggd/606
ID - 10_4171_ggd_606
ER -
%0 Journal Article
%A Jon Bannon
%A Jan Cameron
%A Kunal Mukherjee
%T Noncommutative joinings II
%J Groups, geometry, and dynamics
%D 2021
%P 553-575
%V 15
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/606/
%R 10.4171/ggd/606
%F 10_4171_ggd_606
