Homology of free quantum groups
| Autor: | Collins, B., Härtel, J., Thom, A. |
|---|---|
| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | Comptes rendus - Mathematique 347 (2009), no. 5-6, pp. 271-276 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.crma.2009.01.021 |
| Popis: | We compute the Hochschild homology of the free orthogonal quantum group $A_o(n)$. We show that it satisfies Poincar\'e duality and should be considered to be a 3-dimensional object. We then use recent results of R. Vergnioux to derive results about the $\ell^2$-homology of $A_o(n)$ and estimates on the free entropy dimension of its set of generators. In particular, we show that the $\ell^2$ Betti-numbers of $A_o(n)$ all vanish and that the free entropy dimension is less than 1. Comment: 8 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|