Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Product systems over Ore monoids   We interpret the Cuntz-Pimsner covariance condition as a nondegeneracy
condition for representations of product systems. We show that Cuntz-Pimsner
algebras over Ore monoids are constructed through inductive limits and section
algebras of Fell bundles over groups. We construct a groupoid model for the
Cuntz-Pimsner algebra coming from an action of an Ore monoid on a space by
topological correspondences. We characterise when this groupoid is effective or
locally contracting and describe its invariant subsets and invariant measures.

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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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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: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: cs