Advertisement

The topological centre of a compactification of a locally compact group

  • Anthony To-Ming Lau
  • John Pym
Article

Keywords

Compact Group Open Subgroup Main Lemma Topological Semigroup Continuous Homomorphism 
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.

References

  1. 1.
    Berglund, J.F., Junghenn, H. D., Milnes, P.: Analysis on Semigroups. New York: Wiley 1989zbMATHGoogle Scholar
  2. 2.
    Ellis, R.: Locally compact transformation groups. Duke Math. J.24, 119–126 (1957)zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Granirer, E.: Exposed points of convex sets and weak sequential convergence. Mem. Amer. Math. Soc.123 (1972)Google Scholar
  4. 4.
    Hewitt, E., Ross, K.A.: Abstract Harmonic Analysis, Vol. I. Berlin Heidelberg New York: Springer 1963zbMATHGoogle Scholar
  5. 5.
    Lau, A. T.: Continuity of Arens multiplication on the dual space of bounded uniformly continuous functions on locally compact groups and topological semigroups. Math. Proc. Cambridge Phil. Soc.99, 273–283 (1986)zbMATHCrossRefGoogle Scholar
  6. 6.
    Lau, A.T., Medgalchi, A.R., Pym, J.S.: On the spectrum ofL (G). J. London Math. Soc.48, 152–166 (1993)zbMATHCrossRefMathSciNetGoogle Scholar
  7. 7.
    Mitchell, T.: Topological semigroups and fixed points. Illinois J. Math.14, 630–641 (1970)zbMATHMathSciNetGoogle Scholar
  8. 8.
    Palmer, T.W.: Classes of nonabelian, noncompact, locally compact groups. Rocky Mountain J. Math.8, 683–741 (1978)zbMATHMathSciNetCrossRefGoogle Scholar
  9. 9.
    Ruppert, W.: On semigroup compactifications of topological groups, Proc. Roy. Irish Acad. A79A, 179–200 (1979)MathSciNetGoogle Scholar
  10. 10.
    Strauss, D.: Semigroup structures on βℕ. Semigroup Forum44, 238–244 (1992)zbMATHMathSciNetGoogle Scholar
  11. 11.
    Strauss, D.: ℕ* does not contain an algebraic and topological copy of βℕ. J. London Math. Soc.46, 463–470 (1992)zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Anthony To-Ming Lau
    • 1
  • John Pym
    • 2
  1. 1.Department of MathematicsUniversity of AlbertaEdmontonCanada
  2. 2.School of Mathematics & StatisticsThe UniversitySheffieldEngland

Personalised recommendations