A characterization of the closed unital ideals of the Fourier-Stieltjes algebra B(G) of a locally compact amenable group G |
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Authors: | A Ülger |
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Institution: | Department of Mathematics, Koç University, 34450 Sariyer-Istanbul, Turkey |
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Abstract: | Let G be a locally compact amenable group, B(G) its Fourier-Stieltjes algebra and I be a closed ideal of it. In this paper we prove the following result: The ideal I has a unit element iff it is principal. This is the noncommutative version of the Glicksberg-Host-Parreau Theorem. The paper also contains an abstract version of this theorem. |
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Keywords: | primary 47B48 46J10 43A22 |
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