Homology and cohomology of Rees semigroup algebras

Tom 202 / 2011

Frédéric Gourdeau, Niels Grønbæk, Michael C. White Studia Mathematica 202 (2011), 105-121 MSC: Primary 46M20, 46H20; Secondary 43A20, 16E40. DOI: 10.4064/sm202-2-1

Streszczenie

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.

Autorzy

  • Frédéric GourdeauDépartement de Mathématiques
    et de Statistique
    Université Laval
    1045, Avenue de la Médecine
    Québec (Québec), Canada G1V 0A6
    e-mail
  • Niels GrønbækDepartment of Mathematical Sciences
    Universitetsparken 5
    DK-2100 Copenhagen Ø, Denmark
    e-mail
  • Michael C. WhiteDepartment of Mathematics
    University of Newcastle
    Newcastle upon Tyne, NE1 7RU, England
    e-mail

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