7 citations · 32 across the 21 of their papers we have counts for
14 papers · 1 filter
Topological Hopf algebras and their Hopf-cyclic cohomology
Bahram Rangipour, Serkan Sütlü
A natural extension of the Hopf-cyclic cohomology, with coefficients, is introduced to encompass topological Hopf algebras. The topological theory allows to work with infinite dime…
Generalized Coefficients for Hopf Cyclic Cohomology
Mohammad Hassanzadeh, Dan Kucerovsky, Bahram Rangipour
A category of coefficients for Hopf cyclic cohomology is defined. It is shown that this category has two proper subcategories of which the smallest one is the known category of sta…
Characteristic classes of foliations via SAYD-twisted cocycles
Bahram Rangipour, Serkan Sutlu
We have previously shown that the truncated Weil algebra of any Lie algebra is a Hopf-cyclic type complex with nontrivial coefficients. In this paper we apply this result to transf…
Equivariant Hopf Galois extensions and Hopf cyclic cohomology
M. Hassanzadeh, B. Rangipour
We define the notion of equivariant Hopf Galois extension and apply it as a functor between category of SAYD modules of the Hopf algebras involving in the extension. This generaliz…
Cup products in Hopf cyclic cohomology with coefficients in contramodules
Bahram Rangipour
We use stable anti Yetter-Drinfeld contramodules to improve the cup products in Hopf cyclic cohomology. The improvement fixes the lack of functoriality of the cup products previous…
Cup products in Hopf cyclic cohomology via cyclic modules I
Bahram Rangipour
This is the first one in a series of two papers on the continuation of our study in cup products in Hopf cyclic cohomology. In this note we construct cyclic cocycles of algebras ou…