Sentence examples for amenable groups from inspiring English sources

This and later papers show the amenability of (mathfrak{B }) and of many other non elementary amenable groups (see [5, 13], building among other things on [140]).

Random walks and isoperimetry of amenable groups (with a focus on solvable groups).

We consider positive entropy G-systems for certain countable, discrete, infinite left-orderable amenable groups G.

Further, we include a Banach space valued version of the Lindenstrauss ergodic theorem for amenable groups.

In this paper we extend their result for all amenable groups, using the quasi-tilings of Ornstein and Weiss [D.S. Ornstein, B. Weiss, Entropy and isomorphism theorems for actions of amenable groups, J. Anal. Math. 48 (1987) 1 141].

We give a short proof of the Approximation Conjecture with complex coefficients for amenable groups [G. Elek, The Strong Approximation Conjecture holds for amenable groups, J. Funct. Anal. 239 (1) (2396) 345–355].

Rosenblatt asked whether an amenable group can uniquely determine an invariant mean.

The local properties of entropy for a countable discrete amenable group action are studied.

Let a countable amenable group G act freely and ergodically on a Lebesgue space (X, μ), preserving the measure μ.

We prove that an ergodic free action of a countable discrete amenable group with completely positive entropy has a countable Lebesgue spectrum.

Let α G↷X be a minimal free continuous action of an infinite countable amenable group on an infinite compact metrizable space.