Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the classification of inductive limits of II$_1$ factors with
  spectral gap   We consider II$_1$ factors $M$ which can be realized as inductive limits of
subfactors, $N_n \nearrow M$, having spectral gap in $M$ and satisfying the
bi-commutant condition $(N_n'\cap M)'\cap M=N_n$. Examples are the enveloping
algebras associated to non-Gamma subfactors of finite depth, as well as certain
crossed products of McDuff factors by amenable groups. We use
deformation/rigidity techniques to obtain classification results for such
factors.

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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th