5 citations · 7 across the 6 of their papers we have counts for
9 papers
Introduction to Hopf-Cyclic Cohomology
Masoud Khalkhali, Bahram Rangipour
We review the recent progress in the study of cyclic cohomology in the presence of Hopf symmetry.
Cup Products in Hopf-Cyclic Cohomology
Masoud Khalkhali, Bahram Rangipour
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…
A Note on Cyclic Duality and Hopf Algebras
M. Khalkhali, B. Rangipour
We show that various cyclic and cocyclic modules attached to Hopf algebras and Hopf modules are related to each other via Connes' duality isomorphism for the cyclic category.
Hopf-cyclic homology and cohomology with coefficients
P. M. Hajac, M. Khalkhali, B. Rangipour +1
Following the idea of an invariant differential complex, we construct general-type cyclic modules that provide the common denominator of known cyclic theories. The cyclicity of the…
On the Cyclic Homology of Hopf Crossed Products
M. Khalkhali, B. Rangipour
We consider Hopf crossed products of the the type $A#_σ\mathcal{H}$, where is a cocommutative Hopf algebra, is an -module algebra and is a "numer…
Invariant Cyclic Homology
M. Khalkhali, B. Rangipour
We define a noncommutative analogue of invariant de Rham cohomology. More precisely, for a triple consisting of a Hopf algebra , an -c…