Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Amenable Invariant Random Subgroups   We show that an amenable Invariant Random Subgroup of a locally compact
second countable group lives in the amenable radical. This answers a question
raised in the introduction of the paper "Kesten's Theorem for Invariant Random
Subgroup" by Abert, Glasner and Virag. We also consider, in the opposite
direction, property (T), and prove a similar statement for this property. The
Appendix by Phillip Wesolek proves that the set of amenable subgroups is a
Borel subset in the Chabauty topology.

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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys