4 papers · 1 filter
The weak compactification of locally compact groups
María V. Ferrer, Salvador Hernández
We further investigate the weak topology generated by the irreducible unitary representations of a group . A deep result due to Ernest \cite{Ernest1971} and Hughes \cite{Hughes1…
On convergent sequences in dual groups
M. V. Ferrer, S. Hernández, M. Tkachenko
We provide some characterizations of precompact abelian groups whose dual group endowed with the pointwise convergence topology on elements of contains a nontr…
Representation of Group Isomorphisms I
Marita Ferrer, Margarita Gary, Salvador Hernández
Let be a metric group and let $\sA ut(G)$ denote the automorphism group of . If $\sA$ and $\sB$ are groups of -valued maps defined on the sets and , respectively,…
Dual topologies on non-abelian groups
María V. Ferrer, Salvador Hernández
The notion of locally quasi-convex abelian group, introduce by Vilenkin, is extended to maximally almost-periodic non-necessarily abelian groups. For that purpose, we look at certa…