Remarks on chromatically localised hermitian K-theory
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 var...
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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.2202.05036 |