Products in Hopf-Cyclic Cohomology

Simple item page
dc.creatorKaygun, Atabey
dc.date2007-10-12
dc.date.accessioned2026-07-07T08:36:12Z
dc.date.available2026-07-07T08:36:12Z
dc.descriptionWe construct several pairings in Hopf-cyclic cohomology of (co)module (co)algebras with arbitrary coefficients. The key ideas instrumental in constructing these pairings are the derived functor interpretation of Hopf-cyclic and equivariant cyclic (co)homology, and the Yoneda interpretation of Ext-groups. As a special case of one of these pairings, we recover the Connes-Moscovici characteristic map in Hopf-cyclic cohomology. We also prove that this particular pairing, along with few others, would stay the same if we replace the derived category of (co)cyclic modules with the homotopy category of (special) towers of $X$-complexes, or the derived category of mixed complexes.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0710.2559
dc.identifierhttp://arxiv.org/abs/0710.2559
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139983
dc.subjectK-Theory and Homology
dc.subjectQuantum Algebra
dc.titleProducts in Hopf-Cyclic Cohomology
dc.typetext

Files

Collections

arXiv