Cyclic homology of cleft extensions of algebras

dc.creatorGuccione, Jorge Alberto
dc.creatorGuccione, Juan Jose
dc.creatorValqui, Christian
dc.date.accessioned2019-11-09T00:32:36Z
dc.date.accessioned2022-10-15T16:13:52Z
dc.date.available2019-11-09T00:32:36Z
dc.date.available2022-10-15T16:13:52Z
dc.date.created2019-11-09T00:32:36Z
dc.date.issued2018-05
dc.identifierGuccione, Jorge Alberto; Guccione, Juan Jose; Valqui, Christian; Cyclic homology of cleft extensions of algebras; World Scientific; Journal of Algebra and its Applications; 17; 5; 5-2018; 1-28
dc.identifier0219-4988
dc.identifierhttp://hdl.handle.net/11336/88409
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4407677
dc.description.abstractLet k be a commutative algebra with Q ⊆ k and let (E,p,i) be a cleft extension of A. We obtain a new mixed complex, simpler than the canonical one, giving the Hochschild and cyclic homologies of E relative to ker(p). This complex resembles the canonical reduced mixed complex of an augmented algebra. We begin the study of our complex showing that it has a harmonic decomposition like the one considered by Cuntz and Quillen for the normalized mixed complex of an algebra.
dc.languageeng
dc.publisherWorld Scientific
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219498818500913
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0219498818500913
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1507.01641
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCLEFT EXTENSIONS
dc.subjectCYCLIC HOMOLOGY
dc.subjectHOCHSCHILD HOMOLOGY
dc.titleCyclic homology of cleft extensions of algebras
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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