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arxiv: 1811.03047 · v2 · pith:WCOSLCL4new · submitted 2018-11-07 · 🧮 math.NT · math.KT

On the relative K-group in the ETNC, Part II

classification 🧮 math.NT math.KT
keywords k-groupequivariantetncrelativeassumptionsbass-swanburns-flachcanonically
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In a previous paper we showed, under some assumptions, that the relative K-group in the Burns-Flach formulation of the equivariant Tamagawa number conjecture (ETNC) is canonically isomorphic to a K-group of locally compact equivariant modules. This viewpoint, as well as the usual one, come with generator-relator presentations (due to Bass-Swan and Nenashev) and in this paper we provide an explicit map.

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