Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Serre-Swan theorem for bundles of bounded geometry   The Serre-Swan theorem in differential geometry establishes an equivalence
between the category of smooth vector bundles over a smooth compact manifold
and the category of finitely generated projective modules over the unital ring
of smooth functions. This theorem is here generalized to manifolds of bounded
geometry. In this context it states that the category of Hilbert bundles of
bounded geometry is equivalent to the category of operator *-modules over the
operator *-algebra of continuously differentiable functions which vanish at
infinity. Operator *-modules are generalizations of Hilbert C*-modules where
C*-algebras have been replaced by a more flexible class of involutive algebras
of bounded operators: Operator *-algebras. They play an important role in the
study of the unbounded Kasparov product.

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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat