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user 5952
For questions about the algebraic concept of 'character': a function from a group into a field satisfying certain properties. Not to be confused with the more commonly known psychological term.
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Two Definitions of "Character" of topological groups
I am assuming all groups we are talking about are locally compact and commutative.
The two definitions indeed do ageree on profinite groups. To prove it, you have to check that the functors $Hom(-,\m …
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