Compact Median Algebras are $\mu$-Boundaries in a unique way
Group Theory
2023-10-04 v1 General Topology
Probability
Abstract
We consider group actions on compact median algebras. We show that, given a generating probability measure on the acting group and under suitable conditions on the median algebra, it could be realized in a unique way as a -boundary in the sense of Furstenberg. Along the way, we prove some structural results.
Keywords
Cite
@article{arxiv.2310.02024,
title = {Compact Median Algebras are $\mu$-Boundaries in a unique way},
author = {Uri Bader and Aviv Taller},
journal= {arXiv preprint arXiv:2310.02024},
year = {2023}
}