16 citations · 23 across the 7 of their papers we have counts for
11 papers · 1 filter
Very Basic Noncommutative Geometry
Masoud Khalkhali
These notes aim to give an introduction to a few aspects of noncommutative geometry.
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…
Cyclic Homology of Hopf Comodule Algebras and Hopf Module Coalgebras
R. Akbarpour, M. Khalkhali
In this paper we construct a cylindrical module for an -comodule algebra , where the antipode of the Hopf algebra is bijectiv…