On a theorem of Figà-Talamanca

Walter, Martin E.

doi:10.1090/S0002-9939-1976-0420149-3

On a theorem of Figà-Talamanca
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Proc. Amer. Math. Soc. 60 (1976), 72-74 Request permission

Abstract:

We give an example of a noncompact, unimodular group G with the property that $B(G) \cap {C_0}(G) = A(G)$, where $A(G)$ is the Fourier algebra of G, $B(G)$ is the Fourier-Stieltjes algebra of G and ${C_0}(G)$ is the set of all complex, continuous functions on G vanishing at infinity. This example answers negatively a question raised by A. Figà-Talamanca.

References

Sur l’espace de Banach engendré par les coefficients d’une representation unitaire

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Cours d’arithmétique

41

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