A splitting for of completed group rings
Peter Schneider
Universität Münster, GermanyOtmar Venjakob
Universität Heidelberg, Germany
![A splitting for $K_1$ of completed group rings cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-cmh.png&w=3840&q=90)
Abstract
For and a uniform pro- group and its Iwasawa algebras and we show that the natural map has a splitting provided that vanishes. The image of this splitting is described in terms of a generalised norm operator. This result generalises classical work of Coleman for the case . We verify the vanishing condition for certain unipotent compact -adic Lie groups.
Cite this article
Peter Schneider, Otmar Venjakob, A splitting for of completed group rings. Comment. Math. Helv. 88 (2013), no. 3, pp. 613–642
DOI 10.4171/CMH/298