K_1 of certain Iwasawa algebras, after Kakde

Abstract

This paper contains a detailed exposition of the content of section five in Kakde's paper arXiv:1008.0142. We proceed in a slightly more axiomatic way to pin down the exact requirements on the $p$-adic Lie group under consideration. We also make use of our conceptual theory of the completed localization of an Iwasawa algebra as developed in arXiv:0711.2669. This simplifies some of the arguments. Otherwise, with the exception of the notation at certain places, we follow Kakde's paper.

These are the notes of the "Instructional workshop on the noncommutative main conjectures" held in Münster, April 26 - April 30, 2011 http://wwwmath.uni-muenster.de/u/schneider/Workshop_2011/index.html