SFB 878
Einsteinstraße 62
D-48149 Münster
Tel.: +49 251 83-33730
Fax: +49 251 83-32720

Metanavigation: 

Imprimitivity theorems for weakly proper actions of locally compact groups

Siegfried Echterhoff, Buss, Alcides
published 2013-05-22

In a recent paper the authors introduced universal and exotic generalized fixed-point algebras for weakly proper group actions on C*-algebras. Here we extend the notion of weakly proper actions to actions on Hilbert-modules. As a result we obtain several imprimitivity theorems establishing important Morita equivalences between universal and reduced crossed products and appropriate universal and reduced fixed-point algebras. In particular, we recover Green's imprimitivity theorem and obtain a general version of the symmetric imprimitivity theorem for full and reduced crossed products by weakly proper actions of product groups GxH. In addition, we study functorial properties of generalized fixed-point algebras for equivariant categories of C*-algebras based on correspondences.

Impressum | © 2007 FB10 WWU Münster
Universität Münster
Schlossplatz 2 - 48149 Münster
Tel.: +49 (251) 83-0 - Fax: +49 (251) 83-3 20 90
E-Mail: