K_1 of certain Iwasawa algebras, after Kakde

Details K_1 of certain Iwasawa algebras, after Kakde K_1 of certain Iwasawa algebras, after Kakde

2011-10-28

arxiv.org/abs/1110.6362v1

Mathematics

K-Theory and Homology

These are the notes of the "Instructional workshop on the noncommutative main conjectures" held in M\"unster, April 26 - April

Scientific paper

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.

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