A classification of ideals in crossed products.
A closed category of reflexive topological abelian groups
A duality in the theory of group representations
A Note on Reduced Duals of Certain Locally Compact Groups.
Chu-Dualität und zwei Klassen maximal fastperiodischer Gruppen.
Connected LCA groups are sequentially connected
We prove that every connected locally compact Abelian topological group is sequentially connected, i.e., it cannot be the union of two proper disjoint sequentially closed subsets. This fact is then applied to the study of extensions of topological groups. We show, in particular, that if is a connected locally compact Abelian subgroup of a Hausdorff topological group and the quotient space is sequentially connected, then so is .
Construction techniques for some thin sets in duals of compact abelian groups
Various techniques are presented for constructing (p) sets which are not for all . The main result is that there is a (4) set in the dual of any compact abelian group which is not for all . Along the way to proving this, new constructions are given in dual groups in which constructions were already known of (p) not sets, for certain values of . The main new constructions in specific dual groups are:– there is a (2k) set which is not in for all , and , and in ( a prime,...
Der Satz von Helson-Reiter für spezielle nilopotente Lie-Gruppen.
Dual algebras.
Dualité, et transformation de Fourier -adiques
Dualité et transformation de Fourier p-adiques
Duality, imprimitivity, reciprocity
Duals of Orbit Spaces in Groups With Relatively Compact Inner Automorphism Groups Are Hypergroups.
Extension de la catégorie des algèbres de Kac
On munit la classe des algèbres de Kac d’une nouvelle classe de morphismes, stable par dualité. Cela permet de rendre compte, dans les cas abélien ou symétrique, de la catégorie des groupes localement compacts munis des morphismes continus de groupe. Le lien avec les morphismes précédemment définis et beaucoup plus restrictifs est établi.
Extensions of Pontryagin Duality.
Induced representations and duality results for commutative hypergroups.
Isolated Points in Duals of Certain Locally Compact Groups.
Mapping properties of characters of LCA groups
Medias en espacios localmente convexos y semi-reflexivilidad.
Metrization criteria for compact groups in terms of their dense subgroups
According to Comfort, Raczkowski and Trigos-Arrieta, a dense subgroup D of a compact abelian group G determines G if the restriction homomorphism Ĝ → D̂ of the dual groups is a topological isomorphism. We introduce four conditions on D that are necessary for it to determine G and we resolve the following question: If one of these conditions holds for every dense (or -dense) subgroup D of G, must G be metrizable? In particular, we prove (in ZFC) that a compact abelian group determined by all its...