An example of a non-amenable dynamical system which is boundary amenable

preprint2022arXivOpen access

It is shown that the action of ${\rm SL}(3,\mathbb{Z})$ on the Stone-uCech boundary of ${\rm SL}(3,\mathbb{Z}) / {\rm SL}(2,\mathbb{Z})$ is amenable. This confirms a prediction by Bekka and Kalantar.

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An example of a non-amenable dynamical system which is boundary amenable

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