Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients
| Autor: | Rangipour, B., Sütlü, S., Aliabadi, F. Yazdani |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebra $\mathcal{H}_n$. More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of $\mathcal{H}_n$, and we show that the van Est type characteristic homomorphism from the Hopf-cyclic complex of $\mathcal{H}_n$ to the Gelfand-Fuks cohomology of the Lie algebra $W_n$ of formal vector fields on $\mathbb{R}^n$ respects this multiplicative structure. We then illustrate the machinery for $n=1$. Comment: Minor revisions to highlight the main results |
| Databáze: | arXiv |
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