Actions of Fell bundles
Published: Sep 13, 2025
Last Updated: Sep 13, 2025
Authors:Erik Bédos, Roberto COnti
Abstract
We introduce and study actions of Fell bundles over discrete groups on Hilbert bundles. Many examples of such actions are presented. We discuss the connection with positive definite bundle maps between Fell bundles, culminating in the unital case in a Gelfand-Raikov type theorem. We also use these actions to construct C*-correspondences over cross-sectional C*-algebras of Fell bundles.