Choi, Yemon
(2009)
*Uniform bounds for point cohomology of $\ell^1(\mathbb Z_+)$ and related algebras.*
Journal of Mathematical Analysis and Applications, 358 (2).
pp. 249-260.
ISSN 0022-247X

## 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+.

Item Type:

Journal Article

Journal or Publication Title:

Journal of Mathematical Analysis and Applications

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2603

Subjects:

?? point cohomologysemigroup algebra uniformly bounded solution of cohomology problems flat banach module maximal idealanalysisapplied mathematics ??

Departments:

ID Code:

68305

Deposited By:

Deposited On:

24 Jan 2014 05:52

Refereed?:

Yes

Published?:

Published

Last Modified:

15 Jul 2024 14:28