Semigroup Forum

, Volume 73, Issue 2, pp 159–174 | Cite as

Local Topological Structure in the LUC-Compactification of a Locally Compact Group and its Relationship with Veech's Theorem

Article

Abstract

The paper begins by presenting a construction of the largest semigroup compactification GLUC of a locally compact group as a quotient of the Stone-Cech compactification of the discrete group βGd. This presentation is used in a proof of the local structure theorem for GLUC, which gives a topological description of neighbourhoods of each point, and some new extensions of this result. These immediately imply Veech's Theorem. Finally a result is given which extends Veech's Theorem: for σ-compact groups the map g → gx is injective for all x ∈ GLUC on a set larger than G.

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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Matematik Bolumu, Bogazici Universitesi, 34342 BebekIstanbulTurkey

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