1. Groups associated with minimal flows
- Creator:
- Lawson, J. D. and Lisan, Amha T.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- flow, dynamical system, left congruence, and maximal group
- Language:
- English
- Description:
- Let $S$ be topological semigroup, we consider an appropriate semigroup compactification $\widehat{S}$ of $S$. In this paper we study the connection between subgroups of a maximal group in a minimal left ideal of $\widehat{S}$, 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 group for some left congruence on $\widehat{S}$.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public