Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nilpotent Cantor actions   A nilpotent Cantor action is a minimal equicontinuous action $\Phi \colon
\Gamma \times \frak{X} \to \frak{X}$ on a Cantor set $\frak{X}$, where $\Gamma$
contains a finitely-generated nilpotent subgroup $\Gamma_0 \subset \Gamma$ of
finite index. In this note, we show that these actions are distinguished among
general Cantor actions: any effective action of a finitely generated group on a
Cantor space, which is continuously orbit equivalent to a nilpotent Cantor
action, must itself be a nilpotent Cantor action. As an application of this
result, we obtain new invariants of nilpotent Cantor actions under continuous
orbit equivalence.

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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: econ