Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-26T13:25:56.590Z Has data issue: false hasContentIssue false
  • English
  • Français

CONTINUITY OF MULTIPLICATION IN THE LARGEST COMPACTIFICATION OF A LOCALLY COMPACT GROUP

Published online by Cambridge University Press:  14 June 2001

I. V. PROTASOV  and
J. S. PYM
I. V. PROTASOV
Affiliation:
Department of Cybernetics, State University of Kiev, Kiev, Ukraine; [email protected]
J. S. PYM
Affiliation:
Department of Pure Mathematics, University of Sheffeld, Sheffeld S3 7RH; [email protected]
Get access

Abstract

G[Lscr ][Uscr ][Cscr ] is the largest semigroup compactification of the locally compact group G. When G is not compact, given q ∈ G* = G[Lscr ][Uscr ][Cscr ] \ G, there is p ∈ G* such that x [map ] qx is discontinuous at p (Theorem 2). If G is σ-compact, there is one p which will serve for all q (Theorem 1).

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 3 , May 2001 , pp. 279 - 282
Copyright
© The London Mathematical Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

This research was supported in part by the London Mathematical Society.