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Homomorphisms between Stone-Cech Homomorphisms into Stone-Cech Remainders of Countable Groups
Authors:S. Ferri  D. Strauss
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
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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