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arXiv · 1203.2388

On Cyclic Cohomology of x-Hopf algebras

Mohammad Hassanzadeh
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Abstract

In this paper we study the cyclic cohomology of certain x-Hopf algebras: universal enveloping algebras, quantum algebraic tori, the Connes-Moscovici x-Hopf algebroids and the Kadison bialgebroids. Introducing their stable anti Yetter-Drinfeld modules and cocyclic modules, we compute their cyclic cohomology. Furthermore, we provide a pairing for the cyclic cohomology of x-Hopf algebras which generalizes the Connes-Moscovici characteristic map to x-Hopf algebras. This enables us to transfer the x-Hopf algebra cyclic cocycles to algebra cyclic cocycles.

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Mohammad Hassanzadeh. 2014-02-20. On Cyclic Cohomology of x-Hopf algebras. https://arxiv.org/abs/1203.2388

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