Weakly proper group actions, Mansfield's imprimitivity and twisted Landstad duality

Abstract

Using the theory of weakly proper actions of locally compact groups recently developed by the authors, we give a unified proof of both reduced and maximal versions of Mansfield's Imprimitivity Theorem and obtain a general version of Landstad's Duality Theorem for twisted group coactions. As one application, we obtain the stabilization trick for arbitrary twisted coactions, showing that every twisted coaction is Morita equivalent to an inflated coaction.

29 pages. Revised version, to appear in Trans. Amer. Math. Soc

References in corpus (3)

• Crossed Products by Dual Coactions of Groups and Homogeneous Spaces
• Imprimitivity for $C^{\ast }$-Coactions of Non-Amenable Groups
• Fixed-point algebras for proper actions and crossed products by homogeneous spaces