Cuntz-Nica-Pimsner algebras associated to product systems over quasi-lattice ordered groupoids

Published 7 May 2023 in math.OA and math.FA | (2305.04167v1)

Abstract: We characterize Cuntz-Nica-Pimsner algebras for compactly aligned product systems over quasi-lattice ordered groupoids. We show that the full cross sectional $C^*$-algebras of Fell bundles of Morita equivalence bimodules are isomorphic to the related Cuntz-Nica-Pimsner algebras under certain conditions.

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