Weakly proper group actions, Mansfield’s Imprimitivity and twisted Landstad duality

Author:

Buss Alcides,Echterhoff Siegfried

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference29 articles.

1. Universal and exotic generalized fixed-point algebras for weakly proper actions and duality;Buss, Alcides;Indiana Univ. Math. J.,2014

2. Imprimitivity theorems for weakly proper actions of locally compact groups;Buss, Alcides

3. Twisted equivariant 𝐾𝐾-theory and the Baum-Connes conjecture for group extensions;Chabert, Jérôme;$K$-Theory,2001

4. Pointwise unitary coactions on 𝐶*-algebras with continuous trace;Deicke, Klaus;J. Operator Theory,2000

5. Morita equivalent twisted actions and a new version of the Packer-Raeburn stabilization trick;Echterhoff, Siegfried;J. London Math. Soc. (2),1994

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