The interior of the Šilov boundary of M(G) is trivial |
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| Authors: | F Parreau B Host CC Graham |
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| Institution: | Département de Mathématiques, CSP, Université de Paris-Nord, Villetaneuse, France;Department of Mathematics, Northwestern University, Evanston, Illinois 60201 U.S.A. |
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| Abstract: | Let G be a non-discrete locally compact abelian group, and let M(G) be the convolution algebra of regular bounded Borel measures on G. Let Γ denote the dual group of G. Then the interior of the ?ilov boundary of M(G) is exactly Γ. The proof uses generalized Riesz products for the compact metrizable case and standard liftings from that case. |
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