Discrete G-Spectra and embeddings of module spectra

Takeshi Torii

Published 2015-02-27Version 1

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 essentially equivalent.