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dc.contributor.author
Carboni, Graciela
dc.contributor.author
Guccione, Jorge Alberto
dc.contributor.author
Guccione, Juan Jose
dc.contributor.author
Valqui, Christian
dc.date.available
2017-06-26T20:39:21Z
dc.date.issued
2012-06
dc.identifier.citation
Carboni, Graciela; Guccione, Jorge Alberto; Guccione, Juan Jose; Valqui, Christian; Cyclic homology of Brzezinski’s crossed products and of braided Hopf crossed products; Elsevier; Advances in Mathematics; 231; 6; 6-2012; 3502-3568
dc.identifier.issn
0001-8708
dc.identifier.uri
http://hdl.handle.net/11336/18932
dc.description.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# f V, in the sense of Brzezinski. 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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Crossed Products
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Hochschild (Co)Homology
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Cyclic Homology
dc.subject.classification
Matemática Pura
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Cyclic homology of Brzezinski’s crossed products and of braided Hopf crossed products
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-06-26T19:51:05Z
dc.journal.volume
231
dc.journal.number
6
dc.journal.pagination
3502-3568
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Carboni, Graciela. Universidad de Buenos Aires. Ciclo Básico Común; Argentina
dc.description.fil
Fil: Guccione, Jorge Alberto. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina
dc.description.fil
Fil: Guccione, Juan Jose. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina
dc.description.fil
Fil: Valqui, Christian. Pontificia Universidad Catolica de Peru; Perú
dc.journal.title
Advances in Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0001870812003301
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.aim.2012.09.006
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