Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal amenable subalgebras of von Neumann algebras associated with
  hyperbolic groups   We prove that for any infinite, maximal amenable subgroup $H$ in a hyperbolic
group $G$, the von Neumann subalgebra $LH$ is maximal amenable inside $LG$. It
provides many new, explicit examples of maximal amenable subalgebras in II$_1$
factors. We also prove similar maximal amenability results for direct products
of relatively hyperbolic groups and orbit equivalence relations arising from
measure-preserving actions of such groups.

33
The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th