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A Beurling algebra is semisimple: an elementary proof
Published online by Cambridge University Press: 17 April 2009
Abstract
The Beurling algebra L1(G,ω)on a locally compact Abelian group G with a measurable weight ω is shown to be semisimple. This gives an elementary proof of a result that is implicit in the work of M.C. White (1991), where the arguments are based on amenable (not necessarily Abelian) groups.
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- Copyright © Australian Mathematical Society 2002
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