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Groups and semigroups in analysis: a conference in honour of J.S. Pym on the occasion of his retirement
May 30 - June 1, 2003
University of Sheffield
Sheffield, UK

Organizers
A. Lau, University of Alberta; P. Milnes, University of Western Ontario; R. Sharp, University of Sheffield; D. Strauss, University of Hull

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On actions of a locally compact group on its LUC- and WAP-compactifications
by
Mahmoud Filali
Department of Mathematical Sciences, University of Oulu, Finland

Let G be a locally compact group. The mapping \lambdax defined on G by \lambdax(g)=gx is known to be injective on G for each x in the LUC-compactification \Cal UG of G when \Cal UG is given the right topological semigroup structure. We study this property in the WAP-compactification of G. We also look at the injectivity of the mapping \rhox defined on G by \rhox(g)=xg.

Date received: May 12, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cakn-14.