Some results on groups with unique square roots
Sommes de Riesz et multiplicateurs sur un groupe de Lie compact
On étudie diverses convergences des sommes de Riesz des fonctions de puissance pième sommable sur un groupe de Lie compact. On montre que , où est la dimension du groupe, est un indice critique pour la classe . On donne également un théorème de multiplicateurs qui redonne le résultat classique de Marcinkiewicz pour le tore. On établit enfin un lien entre les multiplicateurs des groupes de Lie compacts et certains multiplicateurs de .
Sous-groupes finis des groupes de Lie
Stable rank and real rank of compact transformation group C*-algebras
Let (G,X) be a transformation group, where X is a locally compact Hausdorff space and G is a compact group. We investigate the stable rank and the real rank of the transformation group C*-algebra C₀(X)⋊ G. Explicit formulae are given in the case where X and G are second countable and X is locally of finite G-orbit type. As a consequence, we calculate the ranks of the group C*-algebra C*(ℝⁿ ⋊ G), where G is a connected closed subgroup of SO(n) acting on ℝⁿ by rotation.
Sui gruppi abeliani ridotti che ammettono una unica topologia compatta
Sur les homomorphismes des demi-groupes compacts
Sur les suites eutaxiques
The abelian subgroup conjecture: A counter example.
The Almost Periodic Measures on a Compact Abelian Group.
The amalgamation basis of the category of compact groups.
The Burnside Ring of a Compact Lie Group. I.
The dual group of a dense subgroup
Throughout this abstract, is a topological Abelian group and is the space of continuous homomorphisms from into the circle group in the compact-open topology. A dense subgroup of is said to determine if the (necessarily continuous) surjective isomorphism given by is a homeomorphism, and is determined if each dense subgroup of determines . The principal result in this area, obtained independently by L. Außenhofer and M. J. Chasco, is the following: Every metrizable group is...
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 group of -adic integers.
The relationship between algebraic numbers and expansiveness of automorphisms on compact abelian groups
The representation-ring of a compact Lie group
The structure space of the trigonometric polynomials on a compact group.
The Tannaka-Krein Duality Theorems.
The Z*-theorem for compact Lie groups.
Total Minimality of the Unitary Groups.