2004/10/30 by Masoud Khalkhali, Khalkhali, Masoud, Bahram Rangipour +1
Mathematics · #46L80 #58B34 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #math.KT #math.QA #msc:46L80 #msc:58B34
paper · pdf · doi:10.48550/arxiv.math/0411003
7 pages. To appear in C. R. Acad. Sci. Paris
arxiv created 2004/10/30 · openalex publication_date 2004/10/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct cup products of two different kinds for Hopf-cyclic cohomology. When the Hopf algebra reduces to the ground field our first cup product reduces to Connes' cup product in ordinary cyclic cohomology. The second cup product generalizes Connes-Moscovici's characteristic map for actions of Hopf algebras on algebras.