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Remarks on duality and semigroups

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Abstract

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.

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Authors and Affiliations

  1. University of Illinois, Urbana, Illinois

    N. J. Rothman

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  1. N. J. Rothman
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This was written while the author was a guest of the Hebrew University of Jerusalem, Israel, and was supported in part by the National Science Foundation.

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Rothman, N.J. Remarks on duality and semigroups. Israel J. Math. 8, 83–89 (1970). https://doi.org/10.1007/BF02771555

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  • DOI: https://doi.org/10.1007/BF02771555

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