A spectral strong approximation theorem for measure-preserving actions

Abért, Miklós (2020) A spectral strong approximation theorem for measure-preserving actions. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 40 (4). pp. 865-880. ISSN 0143-3857

Preview

Text 1412.pdf Download (189kB) | Preview

Abstract

Let be a finitely generated group acting by probability measure-preserving maps on the standard Borel space. We show that if is a subgroup with relative spectral radius greater than the global spectral radius of the action, then acts with finitely many ergodic components and spectral gap on. This answers a question of Shalom who proved this for normal subgroups. © Cambridge University Press, 2018.

Actions (login required)

Edit Item