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arXiv · 2202.05036

Remarks on chromatically localised hermitian K-theory

Markus Land
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Abstract

We describe chromatic localisations of genuine L-spectra of discrete rings and deduce that the purity property of $K(1)$-local $K$-theory of rings established by Bhatt-Clausen-Mathew also holds in Grothendieck-Witt theory. In addition, we collect some results on higher chromatic localisations of various L-theory spectra and their consequences for Grothendieck-Witt theory.

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Markus Land. 2022-02-10. Remarks on chromatically localised hermitian K-theory. https://arxiv.org/abs/2202.05036

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