Waltraud Lederle
Published 2018-04-24Version 1
We show how all topological full groups coming from a one-sided irreducible shift of finite type, as studied by Matui, can be re-interpreted as groups of colour-preserving tree almost automorphisms. As an application, we show that they admit t.d.l.c. completions of arbitrary finite local prime content. This applies in particular to Thompson's $V$.
Studying Stein's Groups as Topological Full Groups
Ample groupoids, topological full groups, algebraic K-theory spectra and infinite loop spaces
On finite generation of self-similar groups of finite type
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