Abstract
This paper contains a detailed exposition of the content of Sect. 5 in Kakde’s preprint “The main conjecture of Iwasawa theory for totally real fields”. 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 Schneider and Venjakob (Am. J. Math. 132, 1–36, 2010). This simplifies some of the arguments. Otherwise, with the exception of the notation at certain places, we follow Kakde’s paper.
MSCs: 19B28, 11S23, 11R23
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Schneider, P., Venjakob, O. (2013). K 1 of Certain Iwasawa Algebras, After Kakde. In: Coates, J., Schneider, P., Sujatha, R., Venjakob, O. (eds) Noncommutative Iwasawa Main Conjectures over Totally Real Fields. Springer Proceedings in Mathematics & Statistics, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32199-3_4
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DOI: https://doi.org/10.1007/978-3-642-32199-3_4
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