A Note on Locally Compact Subsemigroups of Compact Groups
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Publication:6347574
DOI10.1007/S00233-021-10171-4arXiv2008.10110MaRDI QIDQ6347574
Julio C. Hernández, Karl H. Hofmann
Publication date: 23 August 2020
Abstract: An elementary proof is given for the fact that every locally compact subsemigroup of a compact topological group is a closed subgroup. A sample consequence is that every commutative cancellative pseudocompact locally compact Hausdorff topological semigroup with open shifts is a compact topological group.
Representations of general topological groups and semigroups (22A25) General structure theory for semigroups (20M10) Categorical methods in general topology (54B30) Compact groups (22C05) Topological representations of algebraic systems (54H10)
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