#### 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