Home > Research > Publications & Outputs > Uniform bounds for point cohomology of $\ell^1(... Associated organisational units Links Text available via DOI: Uniform bounds for point cohomology of$\ell^1(\mathbb Z_+)\$ and related algebras

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Published
Journal publication date 15/10/2009 Journal of Mathematical Analysis and Applications 2 358 12 249-260 Published English

Abstract

The point cohomology of the convolution algebra ℓ1(Z+) is known to vanish in degrees 2 and above. We sharpen this result by obtaining splitting maps whose norms are bounded independently of the choice of point module. Our construction is a by-product of new estimates on projectivity constants of maximal ideals in ℓ1(Z+). Analogous results are obtained for some other L1-algebras which arise from ‘rank one’ subsemigroups of R+.