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ISSN 1088-6826(e) ISSN 0002-9939(p)

Open subgroups and the centre problem for the Fourier algebra

Author: Zhiguo Hu
Journal: Proc. Amer. Math. Soc. 134 (2006), 3085-3095
MSC (2000): Primary 22D25, 43A30
Posted: May 5, 2006
MathSciNet review: 2231636
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Abstract: Let be the Fourier algebra of a locally compact group and $UCB(\hat{G})$ the -algebra of uniformly continuous linear functionals on . 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 of . We extend some results of Lau-Losert on the centres of $UCB(\hat{G})^*$ and $A(G)^{**}$ .

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