Hermitian K-theory and 2-regularity for totally real number fields
K-Theory and Homology
2010-01-29 v2
Abstract
We completely determine the 2-primary torsion subgroups of the hermitian K-groups of rings of 2-integers in totally real 2-regular number fields. The result is almost periodic with period 8. We also identify the homotopy fibers of the forgetful and hyperbolic maps relating hermitian and algebraic K-theory. The result is then exactly periodic of period 8. In both the orthogonal and symplectic cases, we prove the 2-primary hermitian Quillen-Lichtenbaum conjecture.
Keywords
Cite
@article{arxiv.0903.2545,
title = {Hermitian K-theory and 2-regularity for totally real number fields},
author = {A. J. Berrick and M. Karoubi and P. A. Østvær},
journal= {arXiv preprint arXiv:0903.2545},
year = {2010}
}
Comments
To appear in Mathematische Annalen