학술논문

An example of a non-amenable dynamical system which is boundary amenable.
Document Type
Article
Source
Proceedings of the American Mathematical Society. Jun2023, Vol. 151 Issue 6, p2459-2462. 4p.
Subject
*DYNAMICAL systems
*MATHEMATICS
Language
ISSN
0002-9939
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]. [ABSTRACT FROM AUTHOR]