Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frobenius structures over Hilbert C*-modules   We study the monoidal dagger category of Hilbert C*-modules over a
commutative C*-algebra from the perspective of categorical quantum mechanics.
The dual objects are the finitely presented projective Hilbert C*-modules.
Special dagger Frobenius structures correspond to bundles of uniformly
finite-dimensional C*-algebras. A monoid is dagger Frobenius over the base if
and only if it is dagger Frobenius over its centre and the centre is dagger
Frobenius over the base. We characterise the commutative dagger Frobenius
structures as finite coverings, and give nontrivial examples of both
commutative and central dagger Frobenius structures. Subobjects of the tensor
unit correspond to clopen subsets of the Gelfand spectrum of the C*-algebra,
and we discuss dagger kernels.

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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: hep-lat