hal-03872222
https://cnrs.hal.science/hal-03872222
arxiv:2204.12381
[UNIV-ST-ETIENNE] Université Jean Monnet - Saint-Etienne
[CNRS] CNRS - Centre national de la recherche scientifique
[UNIV-LYON1] Université Claude Bernard - Lyon I
[INSA-LYON] Institut National des Sciences Appliquées de Lyon
[EC-LYON] Ecole Centrale de Lyon
[INSMI] CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions
[INSA-GROUPE] Groupe INSA
[UDL] UDL
[UNIV-LYON] Université de Lyon
[ANR] ANR
Analysis on simple Lie groups and lattices
de la Salle, Mikael
[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]
[MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR]
[MATH.MATH-OA] Mathematics [math]/Operator Algebras [math.OA]
UNDEFINED
We present a simple tool to perform analysis with groups such as SL(n,R) and SL(n,Z), that has been introduced by Vincent Lafforgue in his study of non-unitary representations, in connection with the Baum-Connes conjecture and strong property (T). It has been later applied in various contexts: operator algebras, Fourier analysis, geometry of Banach spaces or dynamics. The idea is to first restrict to compact subgroups and then exploit how they sit inside the whole group.
2022-11-25
en