The cyclic and simplicial cohomology of the bicyclic semigroup algebra
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- Dr Frederic Gourdeau
- Dr Michael White
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| Author(s) | | Gourdeau F, White MC |
| Publication type | | Article |
| Journal | | Quarterly Journal of Mathematics |
| Year | | 2011 |
| Volume | | 62 |
| Issue | | 3 |
| Pages | | 607-624 |
| ISSN (print) | | 0033-5606 |
| ISSN (electronic) | | 1464-3847 |
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| Full text for this publication is not currently held within this repository. Alternative links are provided below where available. |
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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). |
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| Publisher | | Oxford University Press |
| URL | | http://dx.doi.org/10.1093/qmath/haq014 |
| DOI | | 10.1093/qmath/haq014 |
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