The study demonstrates a reflection in abelian cancellative semitopological semigroups, suggesting a discrete character group in locally compact semitopological semigroups.
We prove that each semitopological semigroup has a reflection in the class of abelian cancellative semitopological semigroups. Then we use this reflection to prove that the group of characters of a locally compact pseudocompact topological semigroup with open shifts is discrete.
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Julio César Hernández Arzusa (2025) studied this question.
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