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).
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