Cyclic cohomology of Hopf algebras

DOI10.1016/S0022-4049(01)00007-XzbMath0999.19004MaRDI QIDQ5956870

Marius Crainic

Publication date: 23 November 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Hopf algebrascyclic cohomologynon-commutative Weil complex

Mathematics Subject Classification ID

Related Items (21)

Uniqueness of pairings in Hopf-cyclic cohomology ⋮ The quantum group of a preregular multilinear form. ⋮ On Cyclic Cohomology of ×-Hopf algebras ⋮ Morita base change in Hopf-cyclic (co)homology. ⋮ Cyclic cohomology of Hopf algebras of transverse symmetries in codimension 1. ⋮ A characteristic map for compact quantum groups ⋮ Hopf cyclic cohomology and Chern character of equivariant \(K\)-theories ⋮ A ``natural graded Hopf-algebra and its graded Hopf-cyclic cohomology. ⋮ On codihedral module for *-Hopf algebras ⋮ The Weil algebra of a Hopf algebra. I: A noncommutative framework ⋮ Cyclic-homology Chern-Weil theory for families of principal coactions ⋮ Pairings in Hopf cyclic cohomology of algebras and coalgebras with coefficients ⋮ Connes-Moscovici characteristic map is a Lie algebra morphism. ⋮ A NOTE ON CYCLIC DUALITY AND HOPF ALGEBRAS ⋮ The cyclic theory of Hopf algebroids. ⋮ Periodicity and cyclic homology. Para-\(S\)-modules and perturbation lemmas ⋮ Hopf-cyclic cohomology of quantum enveloping algebras ⋮ Bialgebra cyclic homology with coefficients. ⋮ Cyclic cohomology and multiplier Hopf algebras ⋮ AN EXPLICIT DESCRIPTION OF THE SIMPLICIAL GROUP ⋮ The structure of the Hopf cyclic (co)homology of algebras of smooth functions

Cites Work

• Algebra cochains and cyclic cohomology
• Group cohomology and the cyclic cohomology of crossed products
• Cyclic homology, derivations, and the free loopspace
• Compact matrix pseudogroups
• Hopf algebras, cyclic cohomology and the transverse index theorem
• Cyclic cohomology and Hopf algebras
• Cyclic cohomology of étale groupoids: The general case
• A bivariant Chern-Connes character
• Cyclic cohomology of etale groupoids
• Excision in bivariant periodic cyclic cohomology
• Higher index theorems and the boundary map in cyclic cohomology
• Cyclic homology, comodules, and mixed complexes
• Algebra Extensions and Nonsingularity
• Cyclic Homology and Nonsingularity
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