{ "id": "1502.07800", "version": "v1", "published": "2015-02-27T01:50:15.000Z", "updated": "2015-02-27T01:50:15.000Z", "title": "Discrete G-Spectra and embeddings of module spectra", "authors": [ "Takeshi Torii" ], "comment": "20 pages", "categories": [ "math.AT" ], "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 essentially equivalent.", "revisions": [ { "version": "v1", "updated": "2015-02-27T01:50:15.000Z" } ], "analyses": { "subjects": [ "55P42", "55P91", "55P43" ], "keywords": [ "module spectra", "discrete g-spectra", "module objects", "homotopy fixed points functor", "profinite group" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }