Homology and cohomology of Rees semigroup algebras

• Autorzy: Frédéric Gourdeau , Niels Grønbæk , Michael C. White
• Języki publikacji: EN

Abstrakty

EN

Let S be a Rees semigroup, and let ℓ¹(S) be its convolution semigroup algebra. Using Morita equivalence we show that bounded Hochschild homology and cohomology of ℓ¹(S) are isomorphic to those of the underlying discrete group algebra.

Kategorie tematyczne

• 46M20: Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.)
• 46H20: Structure, classification of topological algebras
• 16E40: (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)
• 43A20: L 1 -algebras on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 202
• Numer: 2
• Strony: 105-121

Daty

wydano

2011

Twórcy

autor

Frédéric Gourdeau

• Département de Mathématiques et de Statistique, Université Laval, 1045, Avenue de la Médecine, Québec (Québec), Canada G1V 0A6

autor

Niels Grønbæk

• Department of Mathematical Sciences, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark

autor

Michael C. White

• Department of Mathematics, University of Newcastle, Newcastle upon Tyne, NE1 7RU, England

Identyfikatory

DOI

10.4064/sm202-2-1