학술논문

An example of a non-amenable dynamical system which is boundary amenable
Document Type
Working Paper
Source
Subject
Mathematics - Operator Algebras
Mathematics - Group Theory
46L05
Language
Abstract
It is shown that the action of ${\rm SL}(3,\mathbb{Z})$ on the Stone-\u{C}ech boundary of ${\rm SL}(3,\mathbb{Z}) / {\rm SL}(2,\mathbb{Z}) $ is amenable. This confirms a prediction by Bekka and Kalantar.
Comment: Title changed; other minor changes, mainly in the exposition. The results are unchanged. Final version, to appear in Proc. Amer. Math. Soc