Homomorphisms between Stone-Cech Homomorphisms into Stone-Cech Remainders of Countable Groups |
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Authors: | S. Ferri D. Strauss |
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Affiliation: | (1) Departamento de Matematicas, Universidad de los Andes, Carrera 1.A 18 A 10, Bogota, Apartado Aereo 4976, Colombia;(2) Mathematics Centre, The University, Cottingham Road, Hull HU6 7RX, United Kingdom |
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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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