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W1940893986 abstract "The point cohomology of the convolution algebra ℓ 1 ( 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 ℓ 1 ( Z + ) . Analogous results are obtained for some other L 1 -algebras which arise from ‘rank one’ subsemigroups of R + ." @default.
W1940893986 created "2016-06-24" @default.
W1940893986 creator A5012158286 @default.
W1940893986 date "2009-10-01" @default.
W1940893986 modified "2023-09-28" @default.
W1940893986 title "Uniform bounds for point cohomology of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mi>ℓ</mml:mi><mml:mn>1</mml:mn></mml:msup><mml:mo stretchy=false>(</mml:mo><mml:msub><mml:mi mathvariant=double-struck>Z</mml:mi><mml:mo>+</mml:mo></mml:msub><mml:mo stretchy=false>)</mml:mo></mml:math> and related algebras" @default.
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W1940893986 doi "https://doi.org/10.1016/j.jmaa.2009.05.002" @default.
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