On the support of the conjugation representation for solvable locally compact groups.
On the Symmetry of Generalized L1-Algebras.
On the Type of a Discrete Crossed Product.
On the uniqueness of uniform norms and C*-norms
We prove that a semisimple, commutative Banach algebra has either exactly one uniform norm or infinitely many uniform norms; this answers a question asked by S. J. Bhatt and H. V. Dedania [Studia Math. 160 (2004)]. A similar result is proved for C*-norms on *-semisimple, commutative Banach *-algebras. These properties are preserved if the identity is adjoined. We also show that a commutative Beurling *-algebra L¹(G,ω) has exactly one uniform norm if and only if it has exactly one C*-norm; this is...
On the Wiener-Eberlein theorem
On varieties of topological groups generated by solvable groups
On Weyl's reciprocity between group algebras and their commutants
On zero-dimensionality of subgroups of locally compact groups
Improving the recent result of the author we show that is equivalent to for every subgroup of a Hausdorff locally compact group .
One Parameter Subgroups and Nonstandard Analysis.
Operator Algebras Associated with Free Products of Groups with Amalgamation.
Operator k-theory for the group SU(n, 1).
Operators of Finite Rank in Unitary Representations of Exponential Lie Groups.
Operators on VN(G) commuting with A(G)
Operator-Valued Positive Definite Kernels on Tubes.
Parallelizability of Proper Actions, Global K-slices and Maximal Compact Subgroups.
Permanence properties of -exact groups.
Permutation models and topological groups
Perturbations compactes des représentations d'un groupe dans un espace de Hilbert
Perturbations compactes des représentations d'un groupe dans un espace de Hilbert. II
Soit une application d’un groupe dans le groupe des opérateurs unitaires sur un espace de Hilbert. Si est un opérateur compact pour tous , quelles sont les obstructions à l’existence d’un homomorphisme avec compact pour tout ? Nous étudions ici les cas où est une somme amalgamée de groupes finis et où est un produit semi-direct d’un groupe fini par .
Poincaré inequalities and rigidity for actions on Banach spaces
The aim of this paper is to extend the framework of the spectral method for proving property (T) to the class of reflexive Banach spaces and present a condition implying that every affine isometric action of a given group on a reflexive Banach space has a fixed point. This last property is a strong version of Kazhdan’s property (T) and is equivalent to the fact that for every isometric representation of on . The condition is expressed in terms of -Poincaré constants and we provide examples...