Coloured Neretin groups

  • Waltraud Lederle

    ETH Zürich, Switzerland
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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 automorphismgroups 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.

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Waltraud Lederle, Coloured Neretin groups. Groups Geom. Dyn. 13 (2019), no. 2, pp. 467–510

DOI 10.4171/GGD/495