Remarks on duality and semigroups
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This paper discusses the duality theory for compact commutative idempotent semigroups and compact commutative inverse semigroups. The major difference from earlier work is the use of semicharacters which are measurable with respect to some measure on the semigroup. Duality theorems are proved using measures which give different dual spaces.
KeywordsInverse Semigroup Duality Theorem Maximum Multiplication Counting Measure Relative Topology
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