Product systems over Ore monoids
Operator Algebras
2016-01-26 v3
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.
Keywords
Cite
@article{arxiv.1502.07768,
title = {Product systems over Ore monoids},
author = {Suliman Albandik and Ralf Meyer},
journal= {arXiv preprint arXiv:1502.07768},
year = {2016}
}
Comments
Final version, accepted by documenta mathematica