Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterizing C*-algebras of compact operators by generic categorical
  properties of Hilbert C*-modules   B. Magajna and J. Schweizer showed in 1997 and 1999, respectively, that
C*-algebras of compact operators can be characterized by the property that
every norm-closed (and coinciding with its biorthogonal complement, resp.)
submodule of every Hilbert C*-module over them is automatically an orthogonal
summand. We find out further generic properties of the category of Hilbert
C*-modules over C*-algebras which characterize precisely the C*-algebras of
compact operators.

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The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
1
The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph