For the root system D, we construct an analog of the Wagoner complex used in his proof of the equivalence of K∗Q$$ {K}_{\ast}^Q $$ and K∗BN$$ {K}_{\ast}^{BN} $$ (linear) algebraic… Click to show full abstract
For the root system D, we construct an analog of the Wagoner complex used in his proof of the equivalence of K∗Q$$ {K}_{\ast}^Q $$ and K∗BN$$ {K}_{\ast}^{BN} $$ (linear) algebraic K-theories. We prove that the corresponding K-theory KU∗D$$ {KU}_{\ast}^D $$ for the even orthogonal group is naturally isomorphic to the KU∗BN$$ {KU}_{\ast}^{BN} $$-theory constructed by Yu. P. Solovyov and A. I. Nemytov.
               
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