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Currently displaying 1 – 2 of 2

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Banach-Stone Theorems and Separating Maps.

S. Hernandez; E. Beckenstein — 1995

Manuscripta mathematica

The dual space of precompact groups

M. Ferrer; S. Hernández; V. Uspenskij — 2013

Commentationes Mathematicae Universitatis Carolinae

For any topological group $G$ the dual object $\hat{G}$ is defined as the set of equivalence classes of irreducible unitary representations of $G$ equipped with the Fell topology. If $G$ is compact, $\hat{G}$ is discrete. In an earlier paper we proved that $\hat{G}$ 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 $G$ is an almost metrizable precompact group.

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