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Higher Dimensional Cohomology of Weighted Sequence Algebras
Published online by Cambridge University Press: 09 April 2009
Abstract
It is well known that c0(Z) is amenable and so its global dimension is zero. In this paper we will investigate the cyclic and Hochschild cohomology of Banach algebra c0 (Z, ω-1) and its unitisation with coefficients in its dual space, where ω is a weight on Z which satisfies inf {ω(i)} = 0.Moreover we show that the weak homological bi-dimension of c0 (Z, ω-1) is infinity.
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- Copyright © Australian Mathematical Society 2003