Cyclic Cohomology and Hopf Symmetry

dc.creatorConnes, Alain
dc.creatorMoscovici, Henri
dc.date2000-02-15
dc.date.accessioned2026-07-07T04:33:54Z
dc.date.available2026-07-07T04:33:54Z
dc.descriptionCyclic cohomology has been recently adapted to the treatment of Hopf symmetry in noncommutative geometry. The resulting theory of characteristic classes for Hopf algebras and their actions on algebras allows to expand the range of applications of cyclic cohomology. It is the goal of the present paper to illustrate these recent developments, with special emphasis on the application to transverse index theory, and point towards future directions. In particular, we highlight the remarkable accord between our framework for cyclic cohomology of Hopf algebras on one hand and both the algebraic as well as the analytic theory of quantum groups on the other, manifest in the construction of the modular square.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0002125
dc.identifierhttp://arxiv.org/abs/math/0002125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58699
dc.subjectOperator Algebras
dc.subjectQuantum Algebra
dc.titleCyclic Cohomology and Hopf Symmetry
dc.typetext

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