Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modules, completely positive maps, and a generalized KSGNS construction   A very general KSGNS type dilation theorem in the context of right (not
necessarily Hilbert) modules over $C^*$-algebras is presented. The proof uses
Kolmogorov type decompositions for positive-definite kernels with values in
spaces of sesquilinear maps. More specific functional analytic applications are
obtained by adding assumptions.

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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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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: eess
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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: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int