Sur les points extrémaux de la boule unité de l’espace des coefficients d’une représentation unitaire et sur l’égalité
Sur les représentations de degré fini du groupe spécial unitaire et du groupe spécial linéaire
Sur les représentations des groupes de Lie réductifs non connexes.
Sur les représentations induites des groupes de Lie
Sur l'espace de Banach engendré par les coefficients d'une représentation unitaire
Symbolic calculus on weighted group algebras
Tamely ramified supercuspidal representations of classical groups. II. Representation theory
Tensor products and p-induction of representations on Banach spaces.
In this paper we obtain Lp versions of the classical theorems of induced representations, namely, the inducing in stages theorem, the Kronecker product theorem, the Frobenius Reciprocity theorem and the subgroup theorem. In doing so we adopt the tensor product approach of Rieffel to inducing.
The Capelli identity and unitary representations
The Choquet-Deny theorem and distal properties of totally disconnected locally compact groups of polynomial growth.
The Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of and .
The conjugation representation and inner amenability of discrete groups.
The Connes-Kasparov conjecture for almost connected groups and for linear -adic groups
Let G be a locally compact group with cocompact connected component. We prove that the assembly map from the topological K-theory of G to the K-theory of the reduced C*-algebra of G is an isomorphism. The same is shown for the groups of k-rational points of any linear algebraic group over a local field k of characteristic zero.
The density of the image of the exponential function and spacious locally compact groups.
The dual space of precompact groups
For any topological group the dual object is defined as the set of equivalence classes of irreducible unitary representations of equipped with the Fell topology. If is compact, is discrete. In an earlier paper we proved that is discrete for every metrizable precompact group, i.e. a dense subgroup of a compact metrizable group. We generalize this result to the case when is an almost metrizable precompact group.
The duality theorem for locally compact Abelian -groups.
The duality theorems. Cyclic representations Langlands conjectures [Book]
The elements of bounded trace in the C*-algebra of a nilpotent Lie group.
The energy representation of Sobolev-Lie groups
The failure of the topological Frobenius property for nilpotent Lie groups.