Equivariant principal bundles and their classifying spaces

Lück, Wolfgang; Uribe, Bernardo

doi:10.2140/agt.2014.14.1925

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Equivariant principal bundles and their classifying spaces

Wolfgang Lück and Bernardo Uribe

Algebraic & Geometric Topology 14 (2014) 1925–1995

DOI: 10.2140/agt.2014.14.1925

Abstract

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We consider $Γ$ –equivariant principal $G$ –bundles over proper $Γ$ –CW–complexes with a prescribed family of local representations. We construct and analyze their classifying spaces for locally compact, second countable topological groups $Γ$ and $G$ with finite covering dimensions, where $G$ is almost connected.

Keywords

equivariant principal bundle, families of local representations, classifying spaces

Mathematical Subject Classification 2010

Primary: 55R91

Secondary: 55P91

References

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

Volume 14, issue 4 (2014)