Cyclic Homology of Strong Smash Product Algebras
| Autor: | Zhang, Jiao, Hu, Naihong |
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| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | J. Reine und Angew. Math. Heft 663 (2012), 177-207 |
| Druh dokumentu: | Working Paper |
| Popis: | For any strong smash product algebra $A\#_{_R}B$ of two algebras $A$ and $B$ with a bijective morphism $R$ mapping from $B\ot A$ to $A\ot B$, we construct a cylindrical module $A\natural B$ whose diagonal cyclic module $\Delta_{\bullet}(A\natural B)$ is graphically proven to be isomorphic to $C_{\bullet}(A\#_{_R}B)$ the cyclic module of the algebra. A spectral sequence is established to converge to the cyclic homology of $A\#_{_R}B$. Examples are provided to show how our results work. Particularly, the cyclic homology of the Pareigis' Hopf algebra is obtained in the way. Comment: Journal f\"ur die Reine und Angewandte Mathematik (2010) |
| Databáze: | arXiv |
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