Product systems over Ore monoids

  • Suliman Albandik

    University of Göttingen, Germany
  • Ralf Meyer

    University of Göttingen, Germany
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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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Suliman Albandik, Ralf Meyer, Product systems over Ore monoids. Doc. Math. 20 (2015), pp. 1331–1402

DOI 10.4171/DM/521