The group of characters of a pseudocompact locally compact semitopological semigroup

Submitted: 2024-08-11

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Accepted: 2025-07-08

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Published: 2025-10-01

DOI: https://doi.org/10.4995/agt.2025.22259

Copyright (c) 2025 Julio César Hernández Arzusa

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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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Keywords:

semitopological semigroup, character, pseudocompact space, locally compact space

Supporting agencies:

This research was not funded

Abstract:

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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