2 problems

Let $G$ be a second countable locally compact group and let $\partial_F G$ be its Furstenberg boundary. For $z\in\partial_F G$, assume that $z$ is a continuity point of the stabili…

Let $G$ be a second countable locally compact group. Furstenberg-boundary simplicity conjecture. If some point of the Furstenberg boundary of $G$ has a trivial stabilizer, then … T…