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The global dimension theorem for weighted convolution algebras
Published online by Cambridge University Press: 20 January 2009
Abstract
We show that the global dimension, dgA, of every commutative Banach algebra A whose radical is a weighted convolution algebra is strictly greater than one. As an application, we see that in this case H2(A, X) ≠ 0 for some Banach A-bimodule X and thus there exists an unsplittable singular extension of the algebra A.
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- Copyright © Edinburgh Mathematical Society 1998
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