Abstract
We use filter representations of the \({\mathcal {LUC}}\)-compactification of a topological group \(G\) and the Stone–Čech compactification of \(G_d\) to describe the continuous homomorphism \(\pi :\beta G_d \rightarrow G^{{\mathcal {LUC}}}\). We apply this method to study algebraic properties of \(G^{{\mathcal {LUC}}}\).
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Communicated by Jimmie D. Lawson.
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Alaste, T. Filters on topological groups. Semigroup Forum 90, 270–279 (2015). https://doi.org/10.1007/s00233-014-9618-8
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DOI: https://doi.org/10.1007/s00233-014-9618-8