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

Bassi, Jacopo; Rădulescu, Florin

doi:10.1090/proc/16239

An example of a non-amenable dynamical system which is boundary amenable
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by Jacopo Bassi and Florin Rădulescu;

Proc. Amer. Math. Soc. 151 (2023), 2459-2462

DOI: https://doi.org/10.1090/proc/16239

Published electronically: March 9, 2023

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Abstract:

It is shown that the action of $\operatorname {SL}(3,\mathbb {Z})$ on the Stone-Čech boundary of $\operatorname {SL}(3,\mathbb {Z}) / \operatorname {SL}(2,\mathbb {Z})$ is amenable. This confirms a prediction by Bekka and Kalantar [Trans. Amer. Math. Soc. 373 (2020), pp. 2105–2133].

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