Listar por tema "Compact group"
Mostrando ítems 1-4 de 4
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Dual topologies on non-abelian groups
Elsevier (2012-06)The notion of locally quasi-convex abelian group, introduced by Vilenkin, is extended to maximally almost periodic non-necessarily abelian groups. For that purpose, we look at certain bornologies that can be defined on the ... -
Precompact groups and property (T)
Elsevier (2013-08)For a topological group GG, the dual object View the MathML sourceĜ is defined as the set of equivalence classes of irreducible unitary representations of GG equipped with the Fell topology. It is well known that, if GG ... -
Subgroups of direct products closely approximated by direct sums
De Gruyter (2017-09)Let I be an infinite Π set, fGi : i 2 Ig be a family of (topological) groups and G = i∈I Gi be its direct product. For J I, pJ : G ! Π j∈J Gj denotes the projection. We say that a subgroup H of G is: (i) uniformly ...
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Uncountable products of determined groups need not be determined
Elsevier (2008)If H is a dense subgroup of G, we say that H determines G if their groups of characters are topologically isomorphic when equipped with the compact open topology. If every dense subgroup of G determines G, then we say that ...
