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Para-Hopf Algebroids and their Cyclic Cohomology
Authors:M.?Khalkhali  author-information"  >  author-information__contact u-icon-before"  >  mailto:masoud@uwo.ca"   title="  masoud@uwo.ca"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,B.?Rangipour
Affiliation:(1) Department of Mathematics, University of Western Ontario, London, ON, Canada
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
Keywords:Para-Hopf algebroids  Hopf-cyclic cohomology  transverse geometry
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