Local compactness as the K(1)-local dual of finite generation
K-Theory and Homology
2023-05-03 v2 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.2301.05943,
title = {Local compactness as the K(1)-local dual of finite generation},
author = {Oliver Braunling},
journal= {arXiv preprint arXiv:2301.05943},
year = {2023}
}
Comments
(slightly shortened, minor edits, statements of the results unchanged)