Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orbit equivalence and classification of weak solenoids   In this work, we study minimal equicontinuous actions which are locally
quasi-analytic. The first main result shows that for minimal equicontinuous
actions which are locally quasi-analytic, continuous orbit equivalence of the
actions implies return equivalence. This generalizes results of Cortez and
Medynets, and of Li. The second main result is that if G is a
finitely-generated, virtually nilpotent group, then every minimal
equicontinuous action by G is locally quasi-analytic. As an application, we
show that the homeomorphism type of a nil-solenoid is determined by the virtual
topological full group of its monodromy action.

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The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: econ
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph