Remarks on chromatically localised hermitian K-theory

2022/02/10 by Land, Markus · 1 citation
#Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2202.05036

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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