Cantor systems, piecewise translations and simple amenable groups
Group Theory
2012-05-01 v3
Abstract
We provide the first examples of finitely generated simple groups that are amenable (and infinite). This follows from a general existence result on invariant states for piecewise-translations of the integers. The states are obtained by constructing a suitable family of densities on the classical Bernoulli space.
Keywords
Cite
@article{arxiv.1204.2132,
title = {Cantor systems, piecewise translations and simple amenable groups},
author = {Kate Juschenko and Nicolas Monod},
journal= {arXiv preprint arXiv:1204.2132},
year = {2012}
}
Comments
The proof has been streamlined: the commutator of W(Z) is not needed anymore