Transfer of the unitary 𝐾₁-functor under polynomial extensions

Kopeiko, V.

doi:10.1090/spmj/1502

Transfer of the unitary $K_1$-functor under polynomial extensions
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by V. I. Kopeiko
Translated by: N. A. Vavilov

St. Petersburg Math. J. 29 (2018), 447-467

DOI: https://doi.org/10.1090/spmj/1502

Published electronically: March 30, 2018

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Abstract:

Transfer of the unitary $K_1$-functor under polynomial extensions of unitary rings is constructed and composition of this transfer with the natural homomorphism induced by embedding of polynomial rings is computed. As an application of the composition formula, unitary $K_1$-analogs of Springer and Farrell theorems are proved.

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