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Para-Hopf Algebroids and their Cyclic Cohomology

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Abstract

We introduce the concept of para-Hopf algebroid and define their cyclic cohomology in the spirit of Connes–Moscovici cyclic cohomology for Hopf algebras. Para-Hopf algebroids are closely related to, but different from, Hopf algebroids. Their definition is motivated by attempting to define a cyclic cohomology theory for Hopf algebroids in general. We show that many of Hopf algebraic structures, including the Connes–Moscovici algebra \({\cal H}_{FM}\) , are para-Hopf algebroids

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Authors and Affiliations

  1. Department of Mathematics, University of Western Ontario, London, ON, Canada

    M. Khalkhali & B. Rangipour

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  1. M. Khalkhali
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  2. B. Rangipour
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Correspondence to M. Khalkhali.

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Khalkhali, M., Rangipour, B. Para-Hopf Algebroids and their Cyclic Cohomology. Lett Math Phys 70, 259–272 (2004). https://doi.org/10.1007/s11005-004-4303-6

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  • DOI: https://doi.org/10.1007/s11005-004-4303-6

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