Compairing Categories of Lubin–Tate (varphi _L,Gamma _L)-Modules

Abstract

In the Lubin–Tate setting we compare different categories of (varphi _L,Gamma )-modules over various perfect or imperfect coefficient rings. Moreover, we study their associated Herr-complexes. Finally, we show that a Lubin Tate extension gives rise to a weakly decompleting, but not decompleting tower in the sense of Kedlaya and Liu.