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arXiv · 1108.0030

Quantum Groupoids and their Hopf Cyclic Cohomology

M. Hassanzadeh·B. Rangipour
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Abstract

A new quantization of groupoids under the name of \times-Hopf coalgebras is introduced. We develop a Hopf cyclic theory with coefficients in stable-anti-Yetter-Drinfeld modules for \times-Hopf coalgebras. We use \times-Hopf coalgebras to study coextensions of coalgebras. Finally, equivariant \times-Hopf coalgebra Galois coextensions are defined and applied as functors between categories of stable anti-Yetter-Drinfeld modules over \times-Hopf coalgebras involved in the coextension.

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BibTeXRIS

M. Hassanzadeh, B. Rangipour. 2014-02-11. Quantum Groupoids and their Hopf Cyclic Cohomology. https://arxiv.org/abs/1108.0030

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