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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

  • Talin Budak
  • John Pym
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.

Keywords

Equivalence Class Open Neighbourhood Compact Group Discrete Group Semigroup Forum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

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

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