Geodesic
Product systems over Ore monoids
Documenta mathematica, Tome 20 (2015), pp. 1331-1402.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 46L55, 22A22
Keywords: crossed product, product system, ore conditions, Cuntz--pimsner algebra, correspondence, groupoid model, higher-rank graph algebra, topological graph algebra 
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     author = {Albandik, Suliman and Meyer, Ralf},
     title = {Product systems over {Ore} monoids},
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Albandik, Suliman; Meyer, Ralf. Product systems over Ore monoids. Documenta mathematica, Tome 20 (2015), pp. 1331-1402. http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a3/