Mathematics > Group Theory
[Submitted on 24 Apr 2018 (v1), last revised 4 Jun 2018 (this version, v2)]
Title:Topological full groups and t.d.l.c. completions of Thompson's $V$
View PDFAbstract: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 $V$.
Submission history
From: Waltraud Lederle [view email][v1] Tue, 24 Apr 2018 13:20:44 UTC (28 KB)
[v2] Mon, 4 Jun 2018 12:25:37 UTC (28 KB)
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