Artículo
Carboni, G.; Guccione, J.A.; Guccione, J.J. "Cyclic homology of Hopf crossed products" (2010) Advances in Mathematics. 223(3):840-872
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Abstract:
We obtain a mixed complex, simpler than the canonical one, given the Hochschild, cyclic, negative and periodic homology of a crossed product E = A #f H, where H is an arbitrary Hopf algebra and f is a convolution invertible cocycle with values in A. We actually work in the more general context of relative cyclic homology. Specifically, we consider a subalgebra K of A which is stable under the action of H, and we find a mixed complex computing the Hochschild, cyclic, negative and periodic homology of E relative to K. As an application we obtain two spectral sequences converging to the cyclic homology of E relative to K. The first one works in the general setting and the second one (which generalizes those previously found by several authors) works when f takes its values in K. © 2009 Elsevier Inc. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | Cyclic homology of Hopf crossed products |
| Autor: | Carboni, G.; Guccione, J.A.; Guccione, J.J. |
| Filiación: | Cíclo Básico Común, Departamento de Ciencias Exactas, Pabellon 3 - Ciudad Universitaria, 1428 Buenos Aires, Argentina Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellon 1 - Ciudad Universitaria, 1428 Buenos Aires, Argentina |
| Palabras clave: | Cyclic homology; Hopf crossed products |
| Año: | 2010 |
| Volumen: | 223 |
| Número: | 3 |
| Página de inicio: | 840 |
| Página de fin: | 872 |
| DOI: | http://dx.doi.org/10.1016/j.aim.2009.09.008 |
| Título revista: | Advances in Mathematics |
| Título revista abreviado: | Adv. Math. |
| ISSN: | 00018708 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00018708_v223_n3_p840_Carboni.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v223_n3_p840_Carboni |
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Citas:
---------- APA ----------
Carboni, G., Guccione, J.A. & Guccione, J.J. (2010) . Cyclic homology of Hopf crossed products. Advances in Mathematics, 223(3), 840-872.http://dx.doi.org/10.1016/j.aim.2009.09.008
---------- CHICAGO ----------
Carboni, G., Guccione, J.A., Guccione, J.J. "Cyclic homology of Hopf crossed products" . Advances in Mathematics 223, no. 3 (2010) : 840-872.http://dx.doi.org/10.1016/j.aim.2009.09.008
---------- MLA ----------
Carboni, G., Guccione, J.A., Guccione, J.J. "Cyclic homology of Hopf crossed products" . Advances in Mathematics, vol. 223, no. 3, 2010, pp. 840-872.http://dx.doi.org/10.1016/j.aim.2009.09.008
---------- VANCOUVER ----------
Carboni, G., Guccione, J.A., Guccione, J.J. Cyclic homology of Hopf crossed products. Adv. Math. 2010;223(3):840-872.http://dx.doi.org/10.1016/j.aim.2009.09.008
