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arXiv · 1806.10856

On the relative K-group in the ETNC

Oliver Braunling
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Abstract

We consider the Burns-Flach formulation of the equivariant Tamagawa number conjecture (ETNC). In their setup, a Tamagawa number is an element of a relative K-group. We show that this relative group agrees with an ordinary K-group, namely of the category of locally compact topological modules over the order. Its virtual objects are an equivariant Haar measure in a precise sense. We expect that all relative K-groups in the ETNC will have analoguous interpretations. At present, we need to restrict to regular orders, e.g. hereditary.

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Oliver Braunling. 2018-06-28. On the relative K-group in the ETNC. https://arxiv.org/abs/1806.10856

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