Abstract
Let S be a suitable subsemigroup of a locally compact abelian group. We consider the class of Banach algebras A for which there exists a continuous homomorphism ω : L 1 (S) → A with dense range. We study the behavior of the radical in such algebras. As an application, we present some results concerning the structure of weakly compact homomorphisms of semigroup algebras.
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Communicated by Karlheinz Gröchenig.
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Mustafayev, H.S. The Banach algebras generated by representations of abelian semigroups. Monatsh Math 165, 413–432 (2012). https://doi.org/10.1007/s00605-011-0333-1
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DOI: https://doi.org/10.1007/s00605-011-0333-1