La conjecture de Baum–Connes à coefficients pour le groupe Sp(<i>n</i>,1)

Pierre Julg

doi:10.1016/S1631-073X(02)02315-4

La conjecture de Baum–Connes à coefficients pour le groupe Sp(n,1)

Pierre Julg ¹

¹ Université d'Orléans, MAPMO, BP 6759, 45067 Orléans cedex 2, France

Comptes Rendus. Mathématique, Volume 334 (2002) no. 7, pp. 533-538.

Résumé (VO)
Abstract

Nous montrons que les groupes de Lie Sp(n,1) vérifient la conjecture de Baum–Connes à coefficients arbitraires. L'outil essentiel de la preuve est la construction d'une famille de représentations uniformément bornées due à Cowling.

We show that the Lie groups Sp(n,1) satisfy the Baum–Connes conjecture with arbitrary coefficients. The main tool is the construction, due to Cowling, of a family of uniformly bounded representations.

Reçu le : 2002-01-10
Publié le : 2002-01-01

DOI : 10.1016/S1631-073X(02)02315-4

Affiliations des auteurs :

Pierre Julg ¹

¹ Université d'Orléans, MAPMO, BP 6759, 45067 Orléans cedex 2, France

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Pierre Julg. La conjecture de Baum–Connes à coefficients pour le groupe Sp(n,1). Comptes Rendus. Mathématique, Volume 334 (2002) no. 7, pp. 533-538. doi : 10.1016/S1631-073X(02)02315-4. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02315-4/

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