Lookup NU author(s): Dr Frederic Gourdeau,
Dr Abdolrasoul Pourabbas,
Dr Michael White
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In this paper, we investigate the higher simplicial cohomology groups of the convolution algebra ℓ1 (S) for various semigroups S. The classes of semigroups considered are semilattices, Clifford semigroups, regular Rees semigroups and the additive semigroups of integers greater than a for some integer a. Our results are of two types: in some cases, we show that some cohomology groups are 0, while in some other cases, we show that some cohomology groups are Banach spaces. © Canadian Mathematical Society 2007.
Author(s): Gourdeau F, Pourabbas A, White MC
Publication type: Article
Publication status: Published
Journal: Canadian Mathematical Bulletin
Print publication date: 01/03/2007
ISSN (print): 0008-4395
ISSN (electronic): 1496-4287
Publisher: University of Toronto Press