Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A reflexivity criterion for Hilbert C*-modules over commutative
  C*-algebras   A C*-algebra $A$ is C*-reflexive if any countably generated Hilbert C*-module
$M$ over $A$ is C*-reflexive, i.e. the second dual module $M''$ coincides with
$M$. We show that a commutative C*-algebra $A$ is C*-reflexive if and only if
for any sequence $I_k$ of disjoint non-zero C*-subalgebras, the canonical
inclusion $\oplus_k I_k\subset A$ doesn't extend to an inclusion of $\prod_k
I_k$.

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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat