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Balanced measures on compact median algebras
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Journal Article
Balanced measures on compact median algebras
2023
Overview
We initiate a systematic investigation of group actions on compact median 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 fixes a sub-cube.
Publisher
Springer Netherlands,Springer Nature B.V
