On Generalizations of Connes-Moscovici Characteristic Map

Details On Generalizations of Connes-Moscovici Characteristic Map On Generalizations of Connes-Moscovici Characteristic Map

2012-03-12

arxiv.org/abs/1203.2388v1

Mathematics

K-Theory and Homology

20 pages

Scientific paper

In this paper we generalize the Connes-Moscovici characteristic map for cyclic cohomology of extended version of Hopf algebras called x-Hopf algebras. To do this, we define a pairing for cyclic cohomology of module algebras and module coalgebras under the symmetry of a x-Hopf algebra. We introduce more examples of similar generalized characteristic maps for quantum algebraic torus and enveloping algebras

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