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Remarks on chromatically localised hermitian K-theory
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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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Cited by 1 Pith paper
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Chromatic Purity in Hermitian K-Theory at $p=2$
At p=2, L-theory of rings with anti-involution is claimed to have no chromatic redshift and to satisfy a chromatic purity theorem.
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