Geodesic
Product systems over Ore monoids
Documenta mathematica, Tome 20 (2015), pp. 1331-1402
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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.
DOI : 10.4171/dm/521
Classification : 22A22, 46L55
Mots-clés : correspondence, crossed product, product system, ore conditions, Cuntz--pimsner algebra, groupoid model, higher-rank graph algebra, topological graph algebra 
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     author = {Ralf Meyer and Suliman Albandik},
     title = {Product systems over {Ore} monoids},
     journal = {Documenta mathematica},
     pages = {1331--1402},
     year = {2015},
     volume = {20},
     doi = {10.4171/dm/521},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/521/}
}
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Ralf Meyer; Suliman Albandik. Product systems over Ore monoids. Documenta mathematica, Tome 20 (2015), pp. 1331-1402. doi: 10.4171/dm/521

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