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arXiv · 1804.09008

Topological full groups and t.d.l.c. completions of Thompson's $V$

Waltraud Lederle
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Abstract

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 $V$.

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Waltraud Lederle. 2018-04-24. Topological full groups and t.d.l.c. completions of Thompson's $V$. https://arxiv.org/abs/1804.09008

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