Structure de certaines C * -algèbres associées aux réseaux de PSL 2 ()
[On the structure of certain C * -algebra associated to lattices of PSL 2 ()]
Annales de l'Institut Fourier, Volume 52 (2002) no. 5, pp. 1287-1299.

By using the infinitesimal structure of the unitary irreducible representations of PSL 2 (), we give a complete description of certain C * -algebras associated to lattices in PSL 2 (); this gives answers to some questions of Bekka–de La Harpe–Valette.

En utilisant la structure infinitésimale des représentations unitaires irréductibles de PSL 2 (), nous donnons une description complète de certaines C * - algèbres associées aux réseaux de PSL 2 (), répondant ainsi à certaines questions de Bekka–de La Harpe–Valette.

DOI: 10.5802/aif.1919
Classification: 22D25,  43A15
Keywords: C * -algebras, unitary representations, (g,k)-modules, lattices
Pierrot, François 1

1 École Normale Supérieure, DMA, 45 rue d'Ulm 75005 Paris (France)
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Pierrot, François. Structure de certaines $C^*$-algèbres associées aux réseaux de ${\rm PSL}_2({\mathbb {R}})$. Annales de l'Institut Fourier, Volume 52 (2002) no. 5, pp. 1287-1299. doi : 10.5802/aif.1919. http://www.numdam.org/articles/10.5802/aif.1919/

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