منابع مشابه
SPECTRUM OF THE FOURIER-STIELTJES ALGEBRA OF A SEMIGROUP
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We announce the definition of the dual group, GB(^, of the Fourier-Stieltjes algebra, B(G), of a locally compact group G; and we state four main theorems culminating in the result that GB(G) is a locally compact topological group which is topological^ isomorphic to G. This result establishes an explicit dual relationship between a group and its Fourier-Stieltjes algebra. Moreover, this result e...
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In this paper, we investigate the relation between L-projections and conditional expectations on subalgebras of the Fourier Stieltjes algebra B(G), and we will show that compactness of G plays an important role in this relation.
متن کاملGroup Duality and Isomorphisms of Fourier and Fourier-stieltjes Algebras from a W*-algebra Point of View
0. Introduction. In this paper two commutative, semisimple Banach algebras with involution, viz., A(G) and B(G), (called the Fourier algebra of G and the Fourier-Stieltjes algebra of G, respectively) are defined (as in [5]) for an arbitrary locally compact topological group G. [Note. As algebras A(G) and B(G) are subalgebras of the algebra of bounded continuous functions on G.] The main purpose...
متن کامل(Non-)amenability of Fourier and Fourier–Stieltjes algebras
Let G be a locally compact group. We show that its Fourier algebra A(G) is amenable if and only if G has an abelian subgroup of finite index, and that its Fourier– Stieltjes algebra B(G) is amenable if and only if G has a compact, abelian subgroup of finite index.
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 2015
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1438951815