关于 $\mathcal{O}$-代数同伦完备化塔的色局部化
代数拓扑
2022-07-26 v3
摘要
非酉交换环的完备化塔是交换代数中的经典构造。在由谱 operad 上的代数所建模的结构化环谱设定中,相应的构造是同伦完备化塔。本简短注记的目的在于证明关于 Johnson-Wilson 谱 的局部化与该塔的各项可交换。
引用
@article{arxiv.2012.10539,
title = {On the chromatic localization of the homotopy completion tower for $\mathcal{O}$-algebras},
author = {Crichton Ogle and Nikolas Schonsheck},
journal= {arXiv preprint arXiv:2012.10539},
year = {2022}
}
备注
Updates based on referee report. Changes include expanded proofs in Section 4 on the classification of the Taylor tower and other updates to improve clarity and exposition. Published in New York Journal of Mathematics