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.

arXiv comment25 pages; v3 is a revised version of the first half of v2; v4 incorporates minor revisions following referee's report; to appear in American Journal of Mathematics