In a previous paper we showed that, under some assumptions, 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. Our approach as well as the standard one both involve presentations: One due to Bass–Swan, applied to categories of finitely generated projective modules; and one due to Nenashev, applied to our topological modules without finite generation assumptions. In this paper we provide an explicit isomorphism.

中文翻译：

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关于ETNC中的相对K群，第二部分

在先前的论文中，我们表明，在某些假设，相对ķ在等变玉川数猜想（ETNC）的伯恩斯-闪光点制剂-基团是标准地同构于一个ķ的局部紧等变模块-基团。我们的方法和标准方法都涉及演示：一种是由于Bass-Swan而导致的，适用于有限生成的投影模块的类别；还有一个由于Nenashev而被应用到我们的拓扑模块而没有有限生成假设的情况。在本文中，我们提供了一个明确的同构。