Algebraic K-theory of the infinite place
K-Theory and Homology
2014-06-06 v2 Number Theory
Abstract
In this note, we show that the algebraic K-theory of generalized archimedean valuation rings occurring in Durov's compactification of the spectrum of a number ring is given by stable homotopy groups of certain classifying spaces. We also show that the "residue field at infinity" is badly behaved from a K-theoretic point of view.
Keywords
Cite
@article{arxiv.1202.5203,
title = {Algebraic K-theory of the infinite place},
author = {Jakob Scholbach},
journal= {arXiv preprint arXiv:1202.5203},
year = {2014}
}
Comments
Final version. To appear in Journal of Homotopy and Related Structures