On Bohr compactifications and profinite completions of group extensions
BACHIR BEKKA
Abstract:Let
$G= N\rtimes H$
be a locally compact group which is a semi-direct product of a closed normal subgroup N and a closed subgroup H. The Bohr compactification
${\rm Bohr}(G)$
and the profinite completion
${\rm Prof}(G)$
of G are, respectively, isomorphic to semi-direct products
$Q_1 \rtimes {\rm Bohr}(H)$
and
$Q_2 \rtimes {\rm Prof}(H)$
for appropriate quotients … Show more
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