Balanced Measures on Compact Median Algebras
General Topology
2025-03-11 v4 Functional Analysis
Abstract
We initiate a systematic investigation of group actions on compact medain algebras via the corresponding dynamics on their spaces of measures. We show that a probability measure which is invariant under a natural push forward operation must be a uniform measure on a cube and use this to show that every amenable group action on a locally convex compact median algebra fixed a sub-cube.
Cite
@article{arxiv.2101.00437,
title = {Balanced Measures on Compact Median Algebras},
author = {Uri Bader and Aviv Taller},
journal= {arXiv preprint arXiv:2101.00437},
year = {2025}
}
Comments
11 pages