Finite group extensions and the Baum–Connes conjecture

Schick, Thomas¹

¹ Georg-August-Universität Göttingen, Mathematisches Institut, Bunsenstr 3, 37073 Göttingen, Germany

Geometry & topology, Tome 11 (2007) no. 3, pp. 1767-1775.

Résumé

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 $S^3$.

Détail

DOI : 10.2140/gt.2007.11.1767

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

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