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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2011
- DOI:
- 10.48550/arXiv.1110.6362
- arXiv:
- arXiv:1110.6362
- Bibcode:
- 2011arXiv1110.6362S
- Keywords:
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- Mathematics - K-Theory and Homology
- E-Print:
- These are the notes of the "Instructional workshop on the noncommutative main conjectures" held in M\"unster, April 26 - April 30, 2011 http://wwwmath.uni-muenster.de/u/schneider/Workshop_2011/index.html