Tuesday 1 May 2007, MR3, 3:45
Microlocalization of Iwasawa algebras
Peter Schneider
(Münster)
Abstract:
If G is a padic 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.



