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Groups associated with minimal flows

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Abstract

Let S be topological semigroup, we consider an appropriate semigroup compactification Ŝ of S. In this paper we study the connection between subgroups of a maximal group in a minimal left ideal of Ŝ, which arise as equivalence classes of some closed left congruence, and the minimal ow 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 group for some left congruence on Ŝ.

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Authors and Affiliations

  1. Department of mathematics, Louisiana State University, Baton Rouge, LA., 70803, U.S.A.

    J. D. Lawson & Amha T. Lisan

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  1. J. D. Lawson
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  2. Amha T. Lisan
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Lawson, J.D., Lisan, A.T. Groups associated with minimal flows. Czech Math J 55, 471–477 (2005). https://doi.org/10.1007/s10587-005-0037-6

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  • DOI: https://doi.org/10.1007/s10587-005-0037-6

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