Lookup NU author(s): Dr Frederic Gourdeau,
Dr Michael White
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Let = 1() be the semigroup algebra of , the bicyclic semigroup. We give a resolution of () which simplifies the computation of the cohomology of 1() dual bimodules. We apply this to the dual module () and show that the simplicial cohomology groups n(, ') vanish for n 2. Using the Connes–Tzygan exact sequence, these results are used to show that the cyclic cohomology groups n(, ') vanish when n is odd and are one-dimensional when n is even (n 2).
Author(s): Gourdeau F, White MC
Publication type: Article
Journal: Quarterly Journal of Mathematics
Print publication date: 26/04/2010
ISSN (print): 0033-5606
ISSN (electronic): 1464-3847
Publisher: Oxford University Press
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