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Homomorphisms between Stone-Cech Homomorphisms into Stone-Cech Remainders of Countable Groups

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Abstract

We study properties of continuous homomorphisms from β S into T* and from S* into T*, where S denotes a countably infinite semigroup and T denotes a countably infinite group. We show that they have striking algebraic properties if they do not arise as continuous extensions of homomorphisms from S to T.

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Authors and Affiliations

  1. Departamento de Matematicas, Universidad de los Andes, Carrera 1.A 18 A 10, Bogota, Apartado Aereo 4976, Colombia

    S. Ferri

  2. Mathematics Centre, The University, Cottingham Road, Hull HU6 7RX, United Kingdom

    D. Strauss

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  1. S. Ferri
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  2. D. Strauss
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Correspondence to S. Ferri or D. Strauss.

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Ferri, S., Strauss, D. Homomorphisms between Stone-Cech Homomorphisms into Stone-Cech Remainders of Countable Groups. Semigroup Forum 71, 428–438 (2005). https://doi.org/10.1007/s00233-005-0525-x

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  • DOI: https://doi.org/10.1007/s00233-005-0525-x

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