Para-Hopf algebroids and their cyclic cohomology

2001/05/11 by Masoud Khalkhali, M. Khalkhali, Khalkhali, M. +3
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.KT

paper · pdf · doi:10.48550/arxiv.math/0105105

Final version to appear in Letters in Mathematical Physics. The name of the article has been changed. Our new class of bialgebroids are now called ``para-Hopf algebroids''. One new example of bialgebroids, due to Connes and Moscovici, are shown to satisfy our axioms of para-Hopf algebroids

openalex publication_date 2001/05/11 · arxiv created 2004/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the concept of \it 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 H_FM, are para-Hopf algebroids.

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