45 citations · 323 across the 58 of their papers we have counts for
16 papers · 1 filter
Hopf Cyclic Cohomology and Beyond
Masoud Khalkhali, Ilya Shapiro
This paper is an introduction to Hopf cyclic cohomology with an emphasis on its most recent developments. We cover three major areas: the original definition of Hopf cyclic cohomol…
Monoidal Categories, 2-Traces, and Cyclic Cohomology
Mohammad Hassanzadeh, Masoud Khalkhali, Ilya Shapiro
In this paper we show that to a unital associative algebra object (resp. co-unital co-associative co-algebra object) of any abelian monoidal category endowed with a s…
Bivariant Hopf cyclic cohomology
Atabey Kaygun, Masoud Khalkhali
For module algebras and module coalgebras over an arbitrary bialgebra, we define two types of bivariant cyclic cohomology groups called bivariant Hopf cyclic cohomology and bivaria…
Excision in Hopf cyclic homology
Atabey Kaygun, Masoud Khalkhali
In this paper we show that both variants of the Hopf cyclic homology has excision under some natural homological conditions on the objects and the coefficient module.
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.