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The Hall topology for the free group is the coarsest topology such that every group morphism from the free group onto a finite discrete group is continuous. It was shoen by M. Hall Jr that every finitely generated subgroup of the free group is closed for this topology. We conjecture that if H1,...
In this paper we prove that for every weight on an amenable group there is always a continuous bounded character on that group. Thus we may assume that any weight on an amenable group is always greater than 1. Using a result of N. Grønbæk , this implies that the only amenable weighted group...
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