# Boundary and Rigidity of Nonsingular Bernoulli Actions

@article{Hasegawa2020BoundaryAR,
title={Boundary and Rigidity of Nonsingular Bernoulli Actions},
author={K. Hasegawa and Yusuke Isono and Tomohiro Kanda},
journal={Communications in Mathematical Physics},
year={2020},
volume={389},
pages={977 - 1008}
}
• Published 7 October 2020
• Mathematics
• Communications in Mathematical Physics
Let G be a countable discrete group and consider a nonsingular Bernoulli shift action G↷∏g∈G({0,1},μg)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G \curvearrowright \prod _{g\in G }(\{0,1\},\mu _g)$$\end{document} with two base points. We prove the first rigidity result for Bernoulli shift actions that are not…
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