Abstract:
Let k be a field, A a unitary associative k-algebra and V a k-vector space endowed with a distinguished element 1V. We obtain a mixed complex, simpler than the canonical one, that gives the Hochschild, cyclic, negative and periodic homologies of a crossed product E := A #fV, in the sense of Brzeziński. We actually work in the more general context of relative cyclic homology. Specifically, we consider a subalgebra K of A that satisfies suitable hypothesis and we find a mixed complex computing the Hochschild, cyclic, negative and periodic homologies of E relative to K. Then, when E is a cleft braided Hopf crossed product, we obtain a simpler mixed complex, that also gives the Hochschild, cyclic, negative and periodic homologies of E. © 2012 Elsevier Ltd.
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Documento: |
Artículo
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Título: | Cyclic homology of Brzeziński's crossed products and of braided Hopf crossed products |
Autor: | Carboni, G.; Guccione, J.A.; Guccione, J.J.; Valqui, C. |
Filiación: | Cíclo Básico Común, Universidad de Buenos Aires, Ciudad Universitaria-Pabellón3, (C1428EGA) Buenos Aires, Argentina Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria-Pabellón1, (C1428EGA) Buenos Aires, Argentina Pontificia Universidad Católica del Perú, Instituto de Matemática y Ciencias Afines, Sección Matemáticas, PUCP, Av. Universitaria 1801, San Miguel, Lima 32, Peru
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Palabras clave: | Crossed products; Cyclic homology; Hochschild (co)homology |
Año: | 2012
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Volumen: | 231
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Número: | 6
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Página de inicio: | 3502
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Página de fin: | 3568
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DOI: |
http://dx.doi.org/10.1016/j.aim.2012.09.006 |
Título revista: | Advances in Mathematics
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Título revista abreviado: | Adv. Math.
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ISSN: | 00018708
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PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00018708_v231_n6_p3502_Carboni.pdf |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v231_n6_p3502_Carboni |
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Citas:
---------- APA ----------
Carboni, G., Guccione, J.A., Guccione, J.J. & Valqui, C.
(2012)
. Cyclic homology of Brzeziński's crossed products and of braided Hopf crossed products. Advances in Mathematics, 231(6), 3502-3568.
http://dx.doi.org/10.1016/j.aim.2012.09.006---------- CHICAGO ----------
Carboni, G., Guccione, J.A., Guccione, J.J., Valqui, C.
"Cyclic homology of Brzeziński's crossed products and of braided Hopf crossed products"
. Advances in Mathematics 231, no. 6
(2012) : 3502-3568.
http://dx.doi.org/10.1016/j.aim.2012.09.006---------- MLA ----------
Carboni, G., Guccione, J.A., Guccione, J.J., Valqui, C.
"Cyclic homology of Brzeziński's crossed products and of braided Hopf crossed products"
. Advances in Mathematics, vol. 231, no. 6, 2012, pp. 3502-3568.
http://dx.doi.org/10.1016/j.aim.2012.09.006---------- VANCOUVER ----------
Carboni, G., Guccione, J.A., Guccione, J.J., Valqui, C. Cyclic homology of Brzeziński's crossed products and of braided Hopf crossed products. Adv. Math. 2012;231(6):3502-3568.
http://dx.doi.org/10.1016/j.aim.2012.09.006