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Hermitian Algebraic K-Theory and the Root System D

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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.

Keywords: algebraic theory; root system; hermitian algebraic; theory

Journal Title: Journal of Mathematical Sciences
Year Published: 2017

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