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arXiv · 1909.03254

Stability for odd unitary $K_1$

Egor Voronetsky
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Abstract

We give a new purely algebraic approach to odd unitary groups using odd form rings. Using these objects, we prove the stability theorems for odd unitary $K_1$-functor without using the corresponding result from linear $K$-theory under the ordinary stable rank condition. Moreover, we prove a natural stabilization result for projective unitary groups and various general unitary groups.

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Egor Voronetsky. 2019-09-07. Stability for odd unitary $K_1$. https://doi.org/10.1515/jgth-2020-0013

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