Number Theory Seminar

Tuesday 1 May 2007, MR3, 3:45

Microlocalization of Iwasawa algebras
Peter Schneider (Münster)


     If G is a p-adic Lie group which has a closed normal subgroup H such that G/H=Z_p then the Iwasawa algebra Lambda(G) is known to be a skew power series ring over Lambda(H). In joint work with O. Venjakob we introduce and study skew Laurent series rings (for a nontrivial derivation). We show that a certain natural completion of the localization of Lambda(G) in the wonderful Ore set is such a skew Laurent series ring over Lambda(H). This has the remarkable consequence that, after completion, it suffices to invert a single element in this Ore set.

Last modified on 17/4/2007.

Comments/corrections to Tim Dokchitser