Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigidity results for wreath product II$_1$ factors   We consider II$_1$ factors of the form $M=\bar{\bigotimes}_{G}N\rtimes G$,
where either i) $N$ is a non-hyperfinite II$_1$ factor and $G$ is an ICC
amenable group or ii) $N$ is a weakly rigid II$_1$ factor and $G$ is ICC group
and where $G$ acts on $\bar{\bigotimes}_{G}N$ by Bernoulli shifts. We prove
that isomorphism of two such factors implies cocycle conjugacy of the
corresponding Bernoulli shift actions. In particular, the groups acting are
isomorphic. As a consequence, we can distinguish between certain classes of
group von Neumann algebras associated to wreath product groups.

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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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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: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org