Boundary and rigidity of nonsingular Bernoulli actions

Kei Hasegawa, Yusuke Isono, Tomohiro Kanda

Let $G$ be a countable discrete group and consider a nonsingular Bernoulli shift action $G\curvearrowright {\prod }_{g\in G}(\{0,1\},{\mu }_g)$ with two base points. When $G$ is exa…