Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Q-system completion is a 3-functor   Q-systems are unitary versions of Frobenius algebra objects which appeared in
the theory of subfactors. In recent joint work with R. Hern\'andez Palomares
and C. Jones, the authors defined a notion of Q-system completion for C*/W*
2-categories, which is a unitary version of a higher idempotent completion in
the spirit of Douglas--Reutter and Gaiotto--Johnson-Freyd. In this article, we
prove that Q-system completion is a dagger 3-functor on the dagger 3-category
of C*/W* 2-categories. We also prove that Q-system completion satisfies a
universal property analogous to the universal property satisfied by idempotent
completion for 1-categories.

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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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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: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: math-ph