Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture

Abstract

Let $p$ be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for an infinite class of one-dimensional non-abelian $p$-adic Lie extensions. Crucially, this result does not depend on the vanishing of the relevant Iwasawa $\mu$-invariant.