Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture
American Journal of Mathematics
Johns Hopkins University Press
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 µ-invariant.
It is a pleasure to thank Werner Bley, Ted Chinburg, Takako Fukaya, Lennart Gehrmann, Cornelius Greither, Annette Huber-Klawitter, Mahesh Kakde, Kazuya Kato, Daniel Macias Castillo, Cristian Popescu, J¨urgen Ritter, Sujatha, Otmar Venjakob, Christopher Voll, Al Weiss and Malte Witte for helpful discussions and correspondence. The authors also thank the referee for several helpful comments. The second named author acknowledges financial support provided by the DFG within the Collaborative Research Center 701 ‘Spectral Structures and Topological Methods in Mathematics’.
This is the author accepted manuscript. It is currently pending publication by Johns Hopkins University Press - to appear in the American Journal of Mathematics.