45 citations · 323 across the 58 of their papers we have counts for
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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…
Cyclic Cohomology of Hopf algebras and Hopf Algebroids
M. Khalkhali, B. Rangipour
We review recent progress in the study of cyclic cohomology of Hopf algebras, Hopf algebroids, and invariant cyclic homology starting with the pioneering work of Connes-Moscovici.
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…