6 problems

Inverse-limit comparison conjecture. The map above is an isomorphism of the cohomology groups.

Comparison conjecture. There is an isomorphism of homology theories

Let $H$ be a Hopf algebra, and let ${}_H\mathcal{M}$ denote the monoidal category of left $H$-modules. Mixed anti-Yetter–Drinfeld contramodules are the coefficients introduced by a…

Let $C$ be an $H$-module coalgebra and let $A$ be an $H$-module algebra, with Hopf-cyclic cohomology defined using suitable coefficients. General Hopf-cyclic pairing conjecture. Th…

Let ${\cal H}$ be a Hopf algebra, let $A$ be an ${\cal H}$-module algebra, let $C$ be an ${\cal H}$-module coalgebra acting on $A$ through a map … satisfying, for $h\in{\cal H}$,…

A characteristic map is a morphism from Hopf cyclic cohomology to cyclic cohomology induced by a modular pair in involution and an invariant trace. Characteristic-map component con…