Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Veelike actions and the MCG of a mixing SFT   We embed Thompson's group $V$ in the mapping class group of a mixing subshift
of finite type. Question~6.3 in [Boyle-Chuysurichay, 17] asks whether these
mapping class groups are sofic. Our result suggests that this question is
difficult to solve at present (at least for some mixing SFTs), since a
resolution of it in either direction would solve an open problem in geometric
group theory. More generally, we define the notion of a ``veelike action'', and
prove that whenever a group acts veelike on a language, it embeds in the
mapping class group of some subshift. We show that Thompson's $V$ acts veelike
on a locally testable language, and thus it embeds in the mapping class group
of a mixing SFT. A two-sided variant of the argument works for the
Brin-Thompson group $2V$.

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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph