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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…
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…
Para-Hopf algebroids and their cyclic cohomology
M. Khalkhali, B. Rangipour
We introduce the concept of {\it para-Hopf algebroid} and define their cyclic cohomology in the spirit of Connes-Moscovici cyclic cohomology for Hopf algebras. Para-Hopf algebroids…
A New Cyclic Module for Hopf Algebras
M. Khalkhali, B. Rangipour
We define a new cyclic module, dual to the Connes-Moscovici cyclic module, for Hopf algebras, and give a characteristric map for the coaction of Hopf algebras. We also compute the…