Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing Extensions of CP-Maps via Tensor Dilations with the Help of
  Von Neumann Modules   We apply Hilbert module methods to show that normal completely positive maps
admit weak tensor dilations. Appealing to a duality between weak tensor
dilations and extensions of CP-maps, we get an existence proof for certain
extensions. We point out that this duality is part of a far reaching duality
between a von Neumann bimodule and its commutant in which also other dualities,
known and new, find their natural common place.

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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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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: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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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: patt-sol