Geodesic
Homology and cohomology of Rees semigroup algebras
Frédéric Gourdeau1 ; Niels Grønbæk2 ; Michael C. White3
1 Département de Mathématiques et de Statistique Université Laval 1045, Avenue de la Médecine Québec (Québec), Canada G1V 0A6
2 Department of Mathematical Sciences Universitetsparken 5 DK-2100 Copenhagen Ø, Denmark
3 Department of Mathematics University of Newcastle Newcastle upon Tyne, NE1 7RU, England
Studia Mathematica, Tome 202 (2011) no. 2, pp. 105-121 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $S$ be a Rees semigroup, and let $\ell ^1(S)$ be its convolution semigroup algebra. Using Morita equivalence we show that bounded Hochschild homology and cohomology of $\ell ^1(S)$ are isomorphic to those of the underlying discrete group algebra.
DOI : 10.4064/sm202-2-1
Keywords: rees semigroup ell its convolution semigroup algebra using morita equivalence bounded hochschild homology cohomology ell isomorphic those underlying discrete group algebra

Frédéric Gourdeau 1 ; Niels Grønbæk 2 ; Michael C. White 3

1 Département de Mathématiques et de Statistique Université Laval 1045, Avenue de la Médecine Québec (Québec), Canada G1V 0A6
2 Department of Mathematical Sciences Universitetsparken 5 DK-2100 Copenhagen Ø, Denmark
3 Department of Mathematics University of Newcastle Newcastle upon Tyne, NE1 7RU, England 
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Frédéric Gourdeau; Niels Grønbæk; Michael C. White. Homology and cohomology of Rees semigroup algebras. Studia Mathematica, Tome 202 (2011) no. 2, pp. 105-121. doi: 10.4064/sm202-2-1

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