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Groups associated with minimal flows

J. D. LawsonAmha T. Lisan — 2005

Czechoslovak Mathematical Journal

Let S be topological semigroup, we consider an appropriate semigroup compactification S ^ of S . In this paper we study the connection between subgroups of a maximal group in a minimal left ideal of S ^ , which arise as equivalence classes of some closed left congruence, and the minimal flow characterized by the left congruence. A particular topology is defined on a maximal group and it is shown that a closed subgroup under this topology is precisely the intersection of an equivalence class with the maximal...

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