Geodesic
Simplicial Cohomology of Some Semigroup Algebras
Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 56-70

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DOI

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.
DOI : 10.4153/CMB-2007-006-6
Mots-clés : 43A20, 46M20, 16E40, simplicial cohomology, semigroup algebra 
Gourdeau, F.; Pourabbas, A.; White, M. C. Simplicial Cohomology of Some Semigroup Algebras. Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 56-70. doi: 10.4153/CMB-2007-006-6
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     title = {Simplicial {Cohomology} of {Some} {Semigroup} {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {56--70},
     year = {2007},
     volume = {50},
     number = {1},
     doi = {10.4153/CMB-2007-006-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-006-6/}
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