#### Volume 14, issue 4 (2014)

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Equivariant principal bundles and their classifying spaces

### Wolfgang Lück and Bernardo Uribe

Algebraic & Geometric Topology 14 (2014) 1925–1995
##### Abstract
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We consider $\Gamma$–equivariant principal $G$–bundles over proper $\Gamma$–CW–complexes with a prescribed family of local representations. We construct and analyze their classifying spaces for locally compact, second countable topological groups $\Gamma$ and $G$ with finite covering dimensions, where $G$ is almost connected.

##### Keywords
equivariant principal bundle, families of local representations, classifying spaces
Primary: 55R91
Secondary: 55P91
##### Publication
Received: 17 April 2013
Revised: 7 January 2014
Accepted: 8 January 2014
Published: 28 August 2014
##### Authors
 Wolfgang Lück Mathematisches Institut Rheinische Wilhelms-Universität Bonn Endenicher Allee 62 53115 Bonn Germany http://www.him.uni-bonn.de/lueck/ Bernardo Uribe Departamento de Matemáticas Universidad del Norte Km.5 Vía Puerto Colombia Barranquilla Colombia