Pairings in Hopf-cyclic cohomology of algebras and coalgebras with coefficients

Simple item page
dc.creatorNikonov, I.
dc.creatorSharygin, G.
dc.date2006-10-20
dc.date.accessioned2026-07-07T07:29:15Z
dc.date.available2026-07-07T07:29:15Z
dc.descriptionThis paper is concerned with the theory of cup-products in Hopf-type cyclic cohomology of algebras and coalgebras. Here we give detailed proofs of the statements, announced in our previous paper. We show that the cyclic cohomology of a coalgebra can be obtained from a construction involving noncommutative Weil algebra. Then we use a generalization of Quillen and Crainic's construction to define the cup-product. We discuss the relation of the introduced cup-product and $S$-operations on cyclic cohomology. After this we describe the relation of this type of product and bivariant cyclic cohomology. In the last section we briefly discuss the relation of our constructions with that of Khalkhali and Rangipour.
dc.descriptionAn revised and extended version of talk, given by the second author at the "Noncommutative Geometry and Cyclic Homology", Newton Institute, August 2006
dc.identifierhttps://arxiv.org/abs/math/0610615
dc.identifierhttp://arxiv.org/abs/math/0610615
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118033
dc.subjectK-Theory and Homology
dc.subjectQuantum Algebra
dc.subject16E40
dc.titlePairings in Hopf-cyclic cohomology of algebras and coalgebras with coefficients
dc.typetext

Files

Collections

arXiv