Groups Associated with Minimal Flows

نویسنده

  • AMHA T. LISAN
چکیده

Let S be topological semigroup, we consider an appropriate semigroup compacti cation b S of S. In this paper we study the connection between subgroups of a maximal group in a minimal left ideal of b S, which arise as equivalence classes of some closed left congruence, and the minimal ow characterized by the left congruence. A particular topology is de ned 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 b S.

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تاریخ انتشار 2003