Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong Morita equivalences for completely positive linear maps and
  GNS-C*-correspondences   We will consider the set of all completely positive linear maps from a unital
$C^*$-algebra to the $C^*$-algebra of all (bounded) adjointable right Hilbert
$C^*$-module maps, which are automatically bounded, on a right Hilbert
$C^*$-module and we will introduce strong Morita equivalence for elements in
this set. In this paper, we will give the following result: If two classes of
two unital $C^*$-algebras are strongly Morita equivalent, respectively, then we
can construct a bijective correspondence between two sets of all strong Morita
equivalence classes of completely positive linear maps given as above.
Furthermore, we will discuss the relation between strong Morita equivalence for
completely positive linear maps and strong Morita equivalence for
GNS-$C^*$-correspondences.

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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio