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Valette, Alain
Nom
Valette, Alain
Affiliation principale
Fonction
Professeur ordinaire
Email
alain.valette@unine.ch
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Voici les éléments 1 - 2 sur 2
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Proper affine isometric actions of amenable groups
1995, Bekka, Bachir, Cherix, Pierre-Alain, Valette, Alain
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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.