Hermitian K-theory of the integers
K理论与同调
2007-05-23 v1 代数拓扑
摘要
The 2-primary torsion of the higher algebraic K-theory of the integers has been computed by Rognes and Weibel. In this paper we prove analogous results for the Hermitian K-theory of the integers with 2 inverted (denoted by Z'). We also prove in this case the analog of the Lichtenbaum conjecture for the hermitian K-theory of Z' : the homotopy fixed point set of a suitable Z/2 action on the classifying space of the algebraic K-theory of Z' is the hermitian K-theory of Z' after 2-adic completion.
引用
@article{arxiv.math/0509404,
title = {Hermitian K-theory of the integers},
author = {A. J. Berrick and M. Karoubi},
journal= {arXiv preprint arXiv:math/0509404},
year = {2007}
}
备注
36 pages ; see also http://www.math.jussieu.fr/~karoubi/ and http://www.math.nus.edu.sg/~matberic/