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arXiv · 2012.10539

On the chromatic localization of the homotopy completion tower for $\mathcal{O}$-algebras

Crichton Ogle·Nikolas Schonsheck
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Abstract

The completion tower of a nonunital commutative ring is a classical construction in commutative algebra. In the setting of structured ring spectra as modeled by algebras over a spectral operad, the analogous construction is the homotopy completion tower. The purpose of this brief note is to show that localization with respect to the Johnson-Wilson spectrum $E(n)$ commutes with the terms of this tower.

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Crichton Ogle, Nikolas Schonsheck. 2020-12-18. On the chromatic localization of the homotopy completion tower for $\mathcal{O}$-algebras. https://arxiv.org/abs/2012.10539

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