En utilisant la structure infinitésimale des représentations unitaires irréductibles de , nous donnons une description complète de certaines - algèbres associées aux réseaux de , répondant ainsi à certaines questions de Bekka–de La Harpe–Valette.
By using the infinitesimal structure of the unitary irreducible representations of , we give a complete description of certain -algebras associated to lattices in ; this gives answers to some questions of Bekka–de La Harpe–Valette.
Classification : 22D25, 43A15
Mots clés : -algèbres,représentations unitaires, -modules, réseaux
@article{AIF_2002__52_5_1287_0, author = {Pierrot, Fran\c cois}, title = {Structure de certaines $C^*$-alg\`ebres associ\'ees aux r\'eseaux de ${\rm PSL}\_2({\mathbb {R}})$}, journal = {Annales de l'Institut Fourier}, pages = {1287--1299}, publisher = {Association des Annales de l'institut Fourier}, volume = {52}, number = {5}, year = {2002}, doi = {10.5802/aif.1919}, zbl = {1053.22004}, mrnumber = {1935551}, language = {fr}, url = {http://www.numdam.org/item/AIF_2002__52_5_1287_0/} }
Pierrot, François. Structure de certaines $C^*$-algèbres associées aux réseaux de ${\rm PSL}_2({\mathbb {R}})$. Annales de l'Institut Fourier, Tome 52 (2002) no. 5, pp. 1287-1299. doi : 10.5802/aif.1919. http://www.numdam.org/item/AIF_2002__52_5_1287_0/
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