Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological full groups and t.d.l.c. completions of Thompson's $V$   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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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con