Algebraic structure of semigroup compactifications: Pym's and Veech's Theorems and strongly prime points
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Título
Algebraic structure of semigroup compactifications: Pym's and Veech's Theorems and strongly prime pointsFecha de publicación
2017-12Editor
ElsevierCita bibliográfica
FILALI, Mahmoud; GALINDO, Jorge. Algebraic structure of semigroup compactifications: Pym's and Veech's Theorems and strongly prime points. Journal of Mathematical Analysis and Applications, 2017, vol. 456, no 1, p. 117-150.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0022247X17305991Versión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
The spectrum of an admissible subalgebra A(G) of LUC(G), the
algebra of right uniformly continuous functions on a locally compact group G,
constitutes a semigroup compacti cation GA of G. In this paper we analyze
the ... [+]
The spectrum of an admissible subalgebra A(G) of LUC(G), the
algebra of right uniformly continuous functions on a locally compact group G,
constitutes a semigroup compacti cation GA of G. In this paper we analyze
the algebraic behaviour of those points of GA that lie in the closure of A(G)-
sets, sets whose characteristic function can be approximated by functions in
A(G).
This analysis provides a common ground for far reaching generalizations of
Veech's property (the action of G on GLUC is free) and Pym's Local Structure
Theorem. This approach is linked to the concept of translation-compact set,
recently developed by the authors, and leads to characterizations of stronlgy
prime points in GA, points that do not belong to the closure of G G , where
G = GA n G. All these results will be applied to show that, in many of the
most important algebras, left invariant means of A(G) [-]
Proyecto de investigación
University of Oulu, program Short-Term International Research Visits, University of Oulu (grant 2402070) ; Ministerio de Economía, Industria y Competitividad, Spain (project MTM2016-77143-P (AEI/FEDER, UE))Derechos de acceso
© 2017 Elsevier Inc. All rights reserved.
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