Product systems over Ore monoids
2015 | journal article. A publication with affiliation to the University of Göttingen.
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Details
- Authors
- Albandik, Suliman; Meyer, Ralf
- 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 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.
- Issue Date
- 2015
- Status
- published
- Publisher
- Univ Bielefeld
- Journal
- Documenta Mathematica
- ISSN
- 1431-0643; 1431-0635