Discrete G-spectra and embeddings of module spectra

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Abstract

In this paper we study the category of discrete G-spectra for a profinite group G. We consider an embedding of module objects in spectra into a category of module objects in discrete G-spectra, and study the relationship between the embedding and the homotopy fixed points functor. We also consider an embedding of module objects in terms of quasi-categories, and show that the two formulations of embeddings are equivalent in some circumstances.

Original languageEnglish
Pages (from-to)853-899
Number of pages47
JournalJournal of Homotopy and Related Structures
Volume12
Issue number4
DOIs
Publication statusPublished - Dec 1 2017

Keywords

  • Discrete G-spectrum
  • Homotopy fixed points
  • Quasi-category

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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