Analogue of Pontryagin character theory for topological semigroups

Author:
Thomas Bowman

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

MSC:
Primary 22A20

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

MathSciNet review:
0348029

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

Article copyright:
© Copyright 1974
American Mathematical Society