Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Morita theorem for algebras of operators on Hilbert space   We show that two operator algebras are strongly Morita equivalent (in the
sense of Blecher, Muhly and Paulsen) if and only if their categories of
operator modules are equivalent via completely contractive functors. Moreover,
any such functor is completely isometrically isomorphic to the Haagerup tensor
product (= interior tensor product) with a strong Morita equivalence bimodule.

16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph