Coloured Neretin groups

Waltraud Lederle

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish
Pages (from-to)467-510
Number of pages44
JournalGroups, Geometry, and Dynamics
Issue number2
StatePublished - 1 Jan 2019
Externally publishedYes


  • Almost automorphisms
  • Groups acting on trees
  • Neretin’s group
  • Simple groups
  • Topological full groups

ASJC Scopus subject areas

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


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