Finite group extensions and the Baum–Connes conjecture

Schick, Thomas

doi:10.2140/gt.2007.11.1767

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Finite group extensions and the Baum–Connes conjecture

Thomas Schick

Geometry & Topology 11 (2007) 1767–1775

DOI: 10.2140/gt.2007.11.1767

arXiv: math.KT/0209165

Abstract

In this note, we exhibit a method to prove the Baum–Connes conjecture (with coefficients) for extensions with finite quotients of certain groups which already satisfy the Baum–Connes conjecture. Interesting examples to which this method applies are torsion-free finite extensions of the pure braid groups, eg the full braid groups, and fundamental groups of certain link complements in $S^{3}$ .

Keywords

Baum–Connes conjecture, braid group, link group, permanence properties

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Publication

Published: 24 September 2007

Proposed: Wolfgang Lueck

Seconded: Walter Neumann, Martin Bridson

Authors

Thomas Schick
Georg-August-Universität Göttingen Mathematisches Institut Bunsenstr 3 37073 Göttingen Germany
http://www.uni-math.gwdg.de/schick/

Volume 11, issue 3 (2007)