The paper constructs Lubin-Tate Herr complexes that compute Galois and Iwasawa cohomology, and proves that the Kisin-Ren equivalence extends to coefficient rings.
Multivariable Lubin-Tate (ϕ, Γ)-modules and filteredϕ-modules
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Galois Cohomology for Lubin-Tate $(\varphi_q,\Gamma_{LT})$-modules over Coefficient rings
The paper constructs Lubin-Tate Herr complexes that compute Galois and Iwasawa cohomology, and proves that the Kisin-Ren equivalence extends to coefficient rings.