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arXiv · 2301.05943

Local compactness as the K(1)-local dual of finite generation

Oliver Braunling
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Abstract

Suppose R is any localization of the ring of integers of a number field. We show that the K-theory of finitely generated R-modules, and the K-theory of locally compact R-modules, are Anderson duals in the K(1)-local homotopy category. The same is true for p-adic and finite fields.

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Oliver Braunling. 2023-01-14. Local compactness as the K(1)-local dual of finite generation. https://arxiv.org/abs/2301.05943

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