HERMITIAN ALGEBRAIC K-THEORY AND THE ROOT SYSTEM D

摘要

For the root system D, we construct an analog of the Wagoner complex used in his proof of the equivalence of K_*~Q and K_*~BN (linear) algebraic k-theories. We prove that the corresponding /C-theory KU° for the even orthogonal group is naturally isomorphic to the KU_*~(BN)-theory constructed by Yu. P. Solovyov and A. I. Nemytov.