On topological full groups of Z^d-actions
Group Theory
2016-11-29 v2 Dynamical Systems
Abstract
We give new examples of simple finitely generated groups arising from actions of free abelian groups on the Cantor sets. As particular examples, we discuss groups of interval exchange transformations, and a group naturally associated with the Penrose tilings. Many groups in this class are amenable.
Keywords
Cite
@article{arxiv.1602.04255,
title = {On topological full groups of Z^d-actions},
author = {M. Chornyi and K. Juschenko and V. Nekrashevych},
journal= {arXiv preprint arXiv:1602.04255},
year = {2016}
}