Coloured Neretin Groups
Group Theory
2019-02-20 v3
Abstract
We give sufficient conditions for a subgroup of a tree almost automorphism group to be isomorphic to the topological full groups of a one-sided shift in the sense of Matui. As an application, we show that almost automorphism groups of trees obtained from universal groups constructed by Burger and Mozes are compactly generated and virtually simple. In addition, using the approach of Bader, Caprace, Gelander and Mozes we show that some of these almost automorphism groups do not have any lattice.
Cite
@article{arxiv.1701.03027,
title = {Coloured Neretin Groups},
author = {Waltraud Lederle},
journal= {arXiv preprint arXiv:1701.03027},
year = {2019}
}
Comments
Statement of main theorem corrected, some results added. To appear in Groups, Geometry and Dynamics