English

Equivariant chromatic localizations and commutativity

Algebraic Topology 2017-08-11 v1

Abstract

In this paper, we study the extent to which Bousfield and finite localizations relative to a thick subcategory of equivariant finite spectra preserve various kinds of highly structured multiplications. Along the way, we describe some basic, useful results for analyzing categories of acyclics in equivariant spectra, and we show that Bousfield localization with respect to an ordinary spectrum (viewed as an equivariant spectrum with trivial action) always preserves equivariant commutative ring spectra.

Keywords

Cite

@article{arxiv.1708.03017,
  title  = {Equivariant chromatic localizations and commutativity},
  author = {Michael A. Hill},
  journal= {arXiv preprint arXiv:1708.03017},
  year   = {2017}
}
R2 v1 2026-06-22T21:10:58.184Z