Proposition 33.1.5.label Let $\seqi{G}$ be locally compact Abelian groups where $G_{i}$ is compact for all but finitely many $i \in I$, then
\[\braks{\prod_{i \in I}G_i}^{\wedge} \iso \bigoplus_{i \in I}\wh G_{i}\]
Proposition 33.1.5.label Let $\seqi{G}$ be locally compact Abelian groups where $G_{i}$ is compact for all but finitely many $i \in I$, then
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