1-cohomologie des représentations unitaires des groupes de Lie semi-simples et résolubles. Produits tensoriels continus de représentations
A characterization of generalized Rudin-Shapiro sequences with values in a locally compact abelian group
A characterization of groups with the one-sided Wiener property.
A Characterization of SIN-Groups.
A classification of ideals in crossed products.
A closed category of reflexive topological abelian groups
A concavity property for the measure of product sets in groups
Let G be a connected locally compact group with a left invariant Haar measure μ. We prove that the function ξ(x) = inf μ̅(AB): μ(A) = x is concave for any fixed bounded set B ⊂ G. This is used to give a new proof of Kemperman’s inequality for unimodular G.
A descriptive view of unitary group representations
In this paper, we will study the relative complexity of the unitary duals of countable groups. In particular, we will explain that if and are countable amenable non-type I groups, then the unitary duals of and are Borel isomorphic.
A duality in the theory of group representations
A dynamical interpretation of the global canonical height on an elliptic curve.
A General Character Formula for Irreducible Projections on L2 of a Nilmanifold.
A generalization of amenability and inner amenability of groups
Let be a locally compact group. We continue our work [A. Ghaffari: -amenability of locally compact groups, Acta Math. Sinica, English Series, 26 (2010), 2313–2324] in the study of -amenability of a locally compact group defined with respect to a closed subgroup of . In this paper, among other things, we introduce and study a closed subspace of and then characterize the -amenability of using . Various necessary and sufficient conditions are found for a locally compact group to possess...
A generalized notion of -weak amenability
In the current work, a new notion of -weak amenability of Banach algebras using homomorphisms, namely --weak amenability is introduced. Among many other things, some relations between --weak amenability of a Banach algebra and , the Banach algebra of matrices with entries from , are studied. Also, the relation of this new concept of amenability of a Banach algebra and its unitization is investigated. As an example, it is shown that the group algebra is ()--weakly amenable for any...
A generalized universal complexification for compact groups.
A group automorphism is a factor of a direct product of a zero entropy automorphism and a Bernoulli automorphism
A Kirillov theory for divisible nilpotent groups.
A new duality theory for compact groups.
A non-seperable measureable choice principle related to induced representations.
A Note on L-sets
Answering a question of Pisier, posed in [10], we construct an L-set which is not a finite union of translates of free sets.
A Note on Reduced Duals of Certain Locally Compact Groups.