Abstract
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 con- structed 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 topolog- ical correspondences. We characterise when this groupoid is effective or locally contracting and describe its invariant subsets and invariant measures. 2010 Mathematics Subject Classification: 46L55, 22A22 Keywords and Phrases: Crossed product; product system; Ore con- ditions; Cuntz-Pimsner algebra; correspondence; groupoid model; higher-rank graph algebra; topological graph algebra.
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