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Valette, Alain

Nom
Valette, Alain
Affiliation principale
Site web
Fonction
Professeur ordinaire
Email
alain.valette@unine.ch
Identifiants
https://libra.unine.ch/handle/123456789/455

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  • Publication
    Métadonnées seulement
    Proper affine isometric actions of amenable groups
    (1995)
    Bekka, Bachir
    ;
    Cherix, Pierre-Alain
    ;
    Valette, Alain 
  • Publication
    Métadonnées seulement
    Lattices in semi-simple Lie groups and multipliers of group C*-algebras
    (1995)
    Bekka, Bachir
    ;
    Valette, Alain 
    Let Gamma be a lattice in a non-compact simple Lie group G. We prove that the canonical map from the full C*-algebra C*(Gamma) to the multiplier algebra M(C*(G)) is not injective in general (it is never injective if G has Kazhdan's property (T), and not injective for many lattices either in SO(n, 1) or SU(n, 1)). For a locally compact group G, Fell introduced a property (WF3), stating that for any closed subgroup H of G, the canonical map from C*(H) to M(C*(G)) is injective. We prove that, for an almost connected G, property (WF3) is equivalent to amenability.