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arXiv · 2008.02821

A descent view on Mitchell's theorem

Elden Elmanto·Denis Nardin·Lucy Yang
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Abstract

In this short note, we given a new proof of Mitchell's theorem that $L_{T\left(n\right)} K(Z) \cong 0$ for $n \geq 2$. Instead of reducing the problem to delicate representation theory, we use recently established hyperdescent technology for chromatically-localized algebraic K-theory.

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Elden Elmanto, Denis Nardin, Lucy Yang. 2020-08-06. A descent view on Mitchell's theorem. https://arxiv.org/abs/2008.02821

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