Abstract
For the root system D, we construct an analog of the Wagoner complex used in his proof of the equivalence of \( {K}_{\ast}^Q \) and \( {K}_{\ast}^{BN} \) (linear) algebraic K-theories. We prove that the corresponding K-theory \( {KU}_{\ast}^D \) for the even orthogonal group is naturally isomorphic to the \( {KU}_{\ast}^{BN} \)-theory constructed by Yu. P. Solovyov and A. I. Nemytov.
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References
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Dedicated to the 70th birthday of A. T. Fomenko
Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 20, No. 3, pp. 251–256, 2015.
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Popelensky, T.Y. Hermitian Algebraic K-Theory and the Root System D . J Math Sci 225, 707–710 (2017). https://doi.org/10.1007/s10958-017-3487-0
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DOI: https://doi.org/10.1007/s10958-017-3487-0