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.
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.
Mot clés : $C^*$-algèbres, représentations unitaires, $(g,k)$-modules, réseaux
Keywords: $C^*$-algebras, unitary representations, $(g,k)$-modules, lattices
Pierrot, François 1
@article{AIF_2002__52_5_1287_0, author = {Pierrot, Fran\c{c}ois}, 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{\textquoteright}institut Fourier}, volume = {52}, number = {5}, year = {2002}, doi = {10.5802/aif.1919}, zbl = {1053.22004}, mrnumber = {1935551}, language = {fr}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1919/} }
TY - JOUR AU - Pierrot, François TI - Structure de certaines $C^*$-algèbres associées aux réseaux de ${\rm PSL}_2({\mathbb {R}})$ JO - Annales de l'Institut Fourier PY - 2002 SP - 1287 EP - 1299 VL - 52 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1919/ DO - 10.5802/aif.1919 LA - fr ID - AIF_2002__52_5_1287_0 ER -
%0 Journal Article %A Pierrot, François %T Structure de certaines $C^*$-algèbres associées aux réseaux de ${\rm PSL}_2({\mathbb {R}})$ %J Annales de l'Institut Fourier %D 2002 %P 1287-1299 %V 52 %N 5 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1919/ %R 10.5802/aif.1919 %G fr %F 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, Volume 52 (2002) no. 5, pp. 1287-1299. doi : 10.5802/aif.1919. https://aif.centre-mersenne.org/articles/10.5802/aif.1919/
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