English

Remarks on chromatically localised hermitian K-theory

K-Theory and Homology 2022-02-11 v1 Algebraic Topology

Abstract

We describe chromatic localisations of genuine L-spectra of discrete rings and deduce that the purity property of K(1)K(1)-local KK-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.

Cite

@article{arxiv.2202.05036,
  title  = {Remarks on chromatically localised hermitian K-theory},
  author = {Markus Land},
  journal= {arXiv preprint arXiv:2202.05036},
  year   = {2022}
}

Comments

10 pages

R2 v1 2026-06-24T09:30:06.584Z