Hostname: page-component-848d4c4894-8kt4b Total loading time: 0 Render date: 2024-06-29T05:04:31.422Z Has data issue: false hasContentIssue false
  • English
  • Français

The centre of the second conjugate algebra of the Fourier algebra for infinite products of groups

Published online by Cambridge University Press:  03 February 2005

ANTHONY TO-MING LAU  and
VIKTOR LOSERT
ANTHONY TO-MING LAU
Affiliation:
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6R 1T1, Canada. e-mail: tlau@math.ualberta.ca
VIKTOR LOSERT
Affiliation:
Institut für Mathematik, Universität Wien, A-1090 Wien, Strudhofgasse 4, Vienna, Austria. e-mail: losert@ap.univie.ac.at
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper, we shall prove that if $G$ is a countably infinite product of second countable amenable locally compact groups $G_i,i\,{=}\,0,1,2,\dots$ and each $G_i$ is a non-trivial compact group for $i>0,$ then the center of the second conjugate algebra of the Fourier algebra $A(G)$ of $G$ is precisely $A(G)$.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 138 , Issue 1 , January 2005 , pp. 27 - 39
Copyright
2005 Cambridge Philosophical Society

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.)