Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Morita Transforms of Tensor Algebras   We show that if $M$ and $N$ are $C^{*}$-algebras and if $E$ (resp. $F$) is a
$C^{*}$-correspondence over $M$ (resp. $N$), then a Morita equivalence between
$(E,M)$ and $(F,N)$ implements a isometric functor between the categories of
Hilbert modules over the tensor algebras of $\mathcal{T}_{+}(E)$ and
$\mathcal{T}_{+}(F)$. We show that this functor maps absolutely continuous
Hilbert modules to absolutely continuous Hilbert modules and provides a new
interpretation of Popescu's reconstruction operator.

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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat