On the structure of certain C * -algebra associated to lattices of PSL 2 ( ℝ )

François Pierrot[1]

  • [1] École Normale Supérieure, DMA, 45 rue d'Ulm 75005 Paris (France)

Annales de l’institut Fourier (2002)

  • Volume: 52, Issue: 5, page 1287-1299
  • ISSN: 0373-0956

Abstract

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

How to cite

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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 52.5 (2002): 1287-1299. <http://eudml.org/doc/116012>.

@article{Pierrot2002,
abstract = {En utilisant la structure infinitésimale des représentations unitaires irréductibles de $\{\rm PSL\}_2(\{\mathbb \{R\}\})$, nous donnons une description complète de certaines $C^*$- algèbres associées aux réseaux de $\{\rm PSL\}_2(\{\mathbb \{R\}\})$, répondant ainsi à certaines questions de Bekka–de La Harpe–Valette.},
affiliation = {École Normale Supérieure, DMA, 45 rue d'Ulm 75005 Paris (France)},
author = {Pierrot, François},
journal = {Annales de l’institut Fourier},
keywords = {$C^*$-algebras; unitary representations; $(g,k)$-modules; lattices},
language = {fre},
number = {5},
pages = {1287-1299},
publisher = {Association des Annales de l'Institut Fourier},
title = {Structure de certaines $C^*$-algèbres associées aux réseaux de $\{\rm PSL\}_2(\{\mathbb \{R\}\})$},
url = {http://eudml.org/doc/116012},
volume = {52},
year = {2002},
}

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
PB - Association des Annales de l'Institut Fourier
VL - 52
IS - 5
SP - 1287
EP - 1299
AB - En utilisant la structure infinitésimale des représentations unitaires irréductibles de ${\rm PSL}_2({\mathbb {R}})$, nous donnons une description complète de certaines $C^*$- algèbres associées aux réseaux de ${\rm PSL}_2({\mathbb {R}})$, répondant ainsi à certaines questions de Bekka–de La Harpe–Valette.
LA - fre
KW - $C^*$-algebras; unitary representations; $(g,k)$-modules; lattices
UR - http://eudml.org/doc/116012
ER -

References

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