La conjecture de Novikov et le groupe de Thompson |
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| Authors: | Catherine Oikonomides Vlad Sergiescu |
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| Affiliation: | 1. Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan;2. Institut Fourier, UMR 5582 du CNRS, 100 rue des Maths, 38402 Saint-Martin d’Hères, France |
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| Abstract: | Using the index theorem of Connes and Moscovici and the cyclic cocycle associated to a group cocycle, we prove the Novikov conjecture for the generalized Godbillon–Vey cocycle, which has been defined by Tsuboi through area functionals. As a corollary, we get a new proof of the fact that Thompson’s groups T and F satisfy the Novikov conjecture. |
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| Keywords: | Cyclic cohomology Novikov conjecture Thompson group Godbillon&ndash Vey cocycle Area functionals |
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