La conjecture de Baum–Connes à coefficients pour les groupes hyperboliques

This paper gives a proof of the Baum–Connes conjecture with coefficients for hyperbolic groups. More precisely the injectivity of the Baum–Connes map was etablished by Kasparov and Skandalis and we prove the surjectivity.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of noncommutative geometry 2012-01, Vol.6 (1), p.1-197
1. Verfasser:	Lafforgue, Vincent
Format:	Artikel
Sprache:	eng
Schlagworte:	Global analysis, analysis on manifolds
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	This paper gives a proof of the Baum–Connes conjecture with coefficients for hyperbolic groups. More precisely the injectivity of the Baum–Connes map was etablished by Kasparov and Skandalis and we prove the surjectivity.
ISSN:	1661-6952 1661-6960
DOI:	10.4171/JNCG/89