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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Open subgroups and the centre problem for the Fourier algebra
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by Zhiguo Hu PDF
Proc. Amer. Math. Soc. 134 (2006), 3085-3095 Request permission

Abstract:

Let $A(G)$ be the Fourier algebra of a locally compact group and $UCB(\hat {G})$ the $C^*$-algebra of uniformly continuous linear functionals on $A(G)$. We study how the centre problem for the algebra $UCB(\hat {G})^*$ (resp. $A(G)^{**}$) is related to the centre problem for the algebras $UCB(\hat {H})^*$ (resp. $A(H)^{**}$) of $\sigma$-compact open subgroups $H$ of $G$. We extend some results of Lau-Losert on the centres of $UCB(\hat {G})^*$ and $A(G)^{**}$.
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Additional Information
  • Zhiguo Hu
  • Affiliation: Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario, Canada N9B 3P4
  • Email: zhiguohu@uwindsor.ca
  • Received by editor(s): January 11, 2005
  • Received by editor(s) in revised form: May 5, 2005
  • Published electronically: May 5, 2006
  • Additional Notes: This research was supported by an NSERC grant.
  • Communicated by: N. Tomczak-Jaegermann
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 3085-3095
  • MSC (2000): Primary 22D25, 43A30
  • DOI: https://doi.org/10.1090/S0002-9939-06-08334-1
  • MathSciNet review: 2231636