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The Bohr compactification of divisible subsemigroups of a cylinder

Published online by Cambridge University Press:  26 March 2001

BRIGITTE BRECKNER
BRIGITTE BRECKNER
Affiliation:
Fachbereich Mathematik der TU Darmstadt, Schlossgartenstr. 7, D-64289 Darmstadt, Germany; e-mail: breckner@mathematik.tu-darmstadt.de
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Abstract

We determine first the structure of certain exponential reduced subsemigroups of the Lie group ℝ × G, where G is a compact and connected Lie group. Next, we construct the Bohr compactification of these subsemigroups. The main result is a structure theorem of this Bohr compactification. In the final section we make some links to the theory of one-parameter semigroups of subsets of Lie groups (due to Rådström).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 2 , March 2001 , pp. 343 - 351
Copyright
2001 Cambridge Philosophical Society

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