Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigged modules I: modules over dual operator algebras and the Picard
  group   In a previous paper we generalized the theory of W*-modules to the setting of
modules over nonselfadjoint dual operator algebras, obtaining the class of
weak*-rigged modules. At that time we promised a forthcoming paper devoted to
other aspects of the theory. We fulfill this promise in the present work and
its sequel "Rigged modules II", giving many new results about weak*-rigged
modules and their tensor products. We also discuss the Picard group of weak*
closed subalgebras of a commutative algebra. For example, we compute the weak
Picard group of $H^{\infty}(D)$, and prove that for a weak* closed function
algebra A, the weak Picard group of A is a semidirect product of the
automorphism group of A, and the subgroup consisting of symmetric equivalence
bimodules.

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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph