scholarly journals AN EQUIVARIANT TIETZE EXTENSION THEOREM FOR PROPER ACTIONS OF LOCALLY COMPACT GROUPS

2009 ◽  
Author(s):  
AASA FERAGEN
Keyword(s):  
Extension Theorem ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Proper Actions

scholarly journals Universal G-spaces for proper actions of locally compact groups

2012 ◽  
Vol 159 (4) ◽  
pp. 1159-1168 ◽  
Author(s):  
Natella Antonyan ◽  
Sergey A. Antonyan ◽  
Rubén D. Varela-Velasco
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Proper Actions

scholarly journals A Symmetric Imprimitivity Theorem for Commuting Proper Actions

2005 ◽  
Vol 57 (5) ◽  
pp. 983-1011 ◽  
Author(s):  
Astrid an Huef ◽  
Iain Raeburn ◽  
Dana P. Williams
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Proper Actions

AbstractWe prove a symmetric imprimitivity theoremfor commuting proper actions of locally compact groups H and K on a C*-algebra.

scholarly journals Linearization of proper actions of locally compact groups on Tychonoff spaces

2012 ◽  
Vol 159 (7) ◽  
pp. 1695-1701 ◽  
Author(s):  
Natella Antonyan ◽  
Sergey A. Antonyan ◽  
Leonardo Rodríguez-Medina
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Proper Actions ◽  
Tychonoff Spaces

scholarly journals Imprimitivity theorems for weakly proper actions of locally compact groups

2014 ◽  
Vol 35 (8) ◽  
pp. 2412-2457 ◽  
Author(s):  
ALCIDES BUSS ◽  
SIEGFRIED ECHTERHOFF
Keyword(s):  
Fixed Point ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Crossed Products ◽  
General Version ◽  
Hilbert Modules ◽  
Locally Compact ◽  
Proper Actions ◽  
Proper Group ◽  
Proper Group Actions

In a recent paper the authors introduced universal and exotic generalized fixed-point algebras for weakly proper group actions on$C^{\ast }$-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, reduced, or exotic crossed products and appropriate universal, reduced, or exotic fixed-point algebras, respectively. In particular, we obtain an exotic version of Green’s imprimitivity theorem and a very general version of the symmetric imprimitivity theorem by weakly proper actions of product groups$G\times H$. In addition, we study functorial properties of generalized fixed-point algebras for equivariant categories of$C^{\ast }$-algebras based on correspondences.

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