Volume 11, issue 3 (2007)

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Finite group extensions and the Baum–Connes conjecture

Thomas Schick

Geometry & Topology 11 (2007) 1767–1775
 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
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/