Equivariant chromatic localizations and commutativity

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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.

Original languageEnglish (US)
Pages (from-to)647-662
Number of pages16
JournalJournal of Homotopy and Related Structures
Volume14
Issue number3
DOIs
StatePublished - Sep 1 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2018, Tbilisi Centre for Mathematical Sciences.

Keywords

  • Bousfield localization
  • Chromatic homotopy
  • Equivariant homotopy

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