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

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.

arXiv comment(slightly shortened, minor edits, statements of the results unchanged)