The dual space of precompact groups
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Other documents of the author: Ferrer González, María Vicenta; Hernández, Salvador; Uspenskij, Vladimir
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Title
The dual space of precompact groupsDate
2013Publisher
Faculty of Mathematics and Physics of Charles University, PragueISSN
0010-2628; 1213-7243Bibliographic citation
FERRER, M.; HERNÁNDEZ, S.; USPENSKIJ, V. The dual space of precompact groups. Comment. Math. Univ. Carolin, 2013, vol. 54, no 2, p. 239-244.Type
info:eu-repo/semantics/articleVersion
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Abstract
For any topological group G the dual object Gb is defined as the set of
equivalence classes of irreducible unitary representations of G equipped with the Fell
topology. If G is compact, Gb is discrete. In an earlier ... [+]
For any topological group G the dual object Gb is defined as the set of
equivalence classes of irreducible unitary representations of G equipped with the Fell
topology. If G is compact, Gb is discrete. In an earlier paper we proved that Gb 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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Comment. Math. Univ. Carolin, 2013, vol. 54, no 2Rights
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