@inproceedings{STVR2010PeriodicityOH,
title={Periodicity of hermitian K-groups by},
author={M. KAROUBI AND P. A. \OSTV{\aE}R},
year={2010}
}

M. KAROUBI AND P. A. ØSTVÆR

Published 2010

Bott periodicity for the unitary and symplectic groups is fundamental to topological K-theory. Analogous to unitary topological K-theory, for algebraic K-groups with nite coe¢ cients, similar results are consequences of the Milnor and Bloch-Kato conjectures, a¢ rmed by Voevodsky, Rost and others. More generally, we prove that periodicity of the algebraic K-groups for any ring implies periodicity for the hermitian K-groups, analogous to orthogonal and symplectic topological K-theory. The proofs… CONTINUE READING