16 citations · 23 across the 7 of their papers we have counts for
6 papers · 1 filter
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…
On The Generalized Cyclic Eilenberg-Zilber Theorem
M. Khalkhali, B. Rangipour
We use the homological perturbation lemma to give an explicit proof of the cyclic Eilenberg-Zilber theorem for cylindrical modules.
Cyclic Homology of DG Coalgebras and a Kuenneth Formula
Masoud Khalkhali
In this note we extend the cyclic homology functor, and in particular the periodic cyclic homology, to the category of DG (= differential graded) coalgebras. We are partly motivate…
Homology of L_{\infty}-Algebras and Cyclic Homology
Masoud Khalkhali
A classical result of Loday-Quillen and Tsygan states that the Lie algebra homology of the algebra of stable matrices over an associative algebra is isomorphic, as a Hopf algebra,…
On Cyclic Homology of A_{\infty} Algebras
Masoud Khalkhali
We present an approach to cyclic homology of A_{\infty} algebras. Our main technical tool is the concept of X-complex due to Cuntz and Quillen. This, in particular, enables us to c…