Cyclic Cohomology, Hopf Algebras and the Modular Theory
| dc.creator | Connes, Alain | |
| dc.creator | Moscovici, Henri | |
| dc.date | 1999-05-03 | |
| dc.date.accessioned | 2026-07-07T05:28:56Z | |
| dc.date.available | 2026-07-07T05:28:56Z | |
| dc.description | We associate canonically a cyclic module to any Hopf algebra endowed with a modular pair, consisting of a group-like element and a character, in involution. This provides the key construct allowing to extend cyclic cohomology to Hopf algebras in the non-unimodular case and further to develop a theory of characteristic classes for actions of Hopf algebras compatible not only with traces but also with the modular theory of weights. It applies to ribbon and to coribbon algebras, as well as to quantum groups and their duals. | |
| dc.description | To appear in Letters in Mathematical Physics 48 (1) | |
| dc.identifier | https://arxiv.org/abs/math/9905013 | |
| dc.identifier | http://arxiv.org/abs/math/9905013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78450 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Operator Algebras | |
| dc.subject | 18G60, 16W30, 19D55, 46L80, 58B30 | |
| dc.title | Cyclic Cohomology, Hopf Algebras and the Modular Theory | |
| dc.type | text |