Analogue of Pontryagin character theory for topological semigroups

Bowman, Thomas

doi:10.1090/S0002-9939-1974-0348029-0

Analogue of Pontryagin character theory for topological semigroups
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by Thomas Bowman

Proc. Amer. Math. Soc. 46 (1974), 97-105

DOI: https://doi.org/10.1090/S0002-9939-1974-0348029-0

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Abstract:

The character semigroups of a wide class of abelian continuous inverse semigroups are determined. A duality theorem is given for which a special case gives necessary and sufficient conditions for duality to hold for locally compact semigroups.

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