The paper constructs Lubin-Tate Herr complexes that compute Galois and Iwasawa cohomology, and proves that the Kisin-Ren equivalence extends to coefficient rings.
TriangulableOF-analytic (ϕq, Γ)-modules of rank 2.Algebra Number Theory 7, 10 (2013), 2545–2592
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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.