Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture
  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. 
Henri Johnston and Andreas Nickel
math.NT