Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients

2017/05/22 by Bahram Rangipour, Rangipour, B., Serkan Sütlü +3
Mathematics · #16T05 #19D55 #46L80 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.1705.07651

openalex publication_date 2017/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebra H_n. More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of H_n, and we show that the van Est type characteristic homomorphism from the Hopf-cyclic complex of H_n to the Gelfand-Fuks cohomology of the Lie algebra W_n of formal vector fields on ℝⁿ respects this multiplicative structure. We then illustrate the machinery for n=1.

Related

• Hopf cyclic cohomology and transverse characteristic classes
• Geometric construction of Hopf cyclic characteristic classes
• Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras
• Cyclic Cohomology of Hopf algebras and Hopf Algebroids
• Hopf Cyclic Cohomology and Beyond