2 problems

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Excision for periodic dual Hopf cyclic homology of comodule algebras
Let $B$ be a Hopf algebra with an invertible antipode and let $X$ be a stable anti-Yetter–Drinfeld module. Let … be a sequence of $B$ -comodule algebras such that both $J$ and $A$ a…
Conjectureopencomodule-algebras excision hopf-cyclic-homologyarXiv posted 2 days ago
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The lifting conjecture for exact equivariant Morita classes
Lifting conjecture. The set $X$ is a complete set of exact $H$ -equivariant Morita equivalence class representatives.
Conjectureopencomodule-algebras hopf-algebras morita-equivalencearXiv posted 2 days ago

Excision for periodic dual Hopf cyclic homology of comodule algebras