Co-universal $C^{\ast}$-algebras for product systems over quasi-lattice ordered groupoids

Abstract

We introduce the notion of product systems over quasi-lattice ordered groupoids, and characterize the co-universal algebras for compactly aligned product systems over quasi-lattice ordered groupoids by using the C * -envelopes of the cosystems associated with the product systems.2010 Mathematics Subject Classification. 46L05. Key words and phrases. Co-universal C * -algebras; Product systems; Quasi-lattice ordered groupoids.