2024/06/02 by Giorgio Trentinaglia, Trentinaglia, Giorgio
Mathematics · #28C10 #Advanced Banach Space Theory #Advanced Topics in Algebra #Advanced Topology and Set Theory #FOS: Mathematics #Operator Algebras (math.OA) #Primary 22A22 #Representation Theory (math.RT) #Secondary 22A30
paper · pdf · doi:10.48550/arxiv.2406.00728
openalex publication_date 2024/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend an old result of de la Harpe and Karoubi, concerning almost representations of compact groups, to proper groupoids admitting continuous Haar measure systems. As an application, we establish the existence of sufficiently many continuous representations of such groupoids on finite-rank Hilbert bundles locally, and use this fact to prove a new generalization of the classical Tannaka duality theorem to groupoids in a purely topological setting.