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Simplicial Cohomology of Some Semigroup Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper, we investigate the higher simplicial cohomology groups of the convolution algebra ${{\ell }^{1}}\left( S \right)$ 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.
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- Research Article
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- Copyright © Canadian Mathematical Society 2007
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