Continuous Fell bundles associated to measurable twisted actions

Abstract

Given a measurable twisted action of a second-countable, locally compact group G G on a separable C ∗ C^{*} -algebra A A , we prove the existence of a topology on A × G A\times G making it a continuous Fell bundle, whose cross sectional C ∗ C^{*} -algebra is isomorphic to the Busby–Smith–Packer–Raeburn crossed product.