Discrete G-spectra and embeddings of module spectra

Takeshi Torii

doi:10.1007/s40062-016-0166-7

Discrete G-spectra and embeddings of module spectra

Takeshi Torii

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	853-899
Number of pages	47
Journal	Journal of Homotopy and Related Structures
Volume	12
Issue number	4
DOIs	https://doi.org/10.1007/s40062-016-0166-7
Publication status	Published - 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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10.1007/s40062-016-0166-7

Cite this

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title = "Discrete G-spectra and embeddings of module spectra",

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.",

keywords = "Discrete G-spectrum, Homotopy fixed points, Quasi-category",

author = "Takeshi Torii",

note = "Funding Information: The author would like to thank the anonymous referee for many helpful comments and suggestions. He also would like to thank Daniel Davis for pointing out the mistake in Lemma 6.1 in the preprint version of the paper. This work was partially supported by JSPS KAKENHI Grant Number 25400092. Publisher Copyright: {\textcopyright} 2017, Tbilisi Centre for Mathematical Sciences.",

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N1 - Funding Information: The author would like to thank the anonymous referee for many helpful comments and suggestions. He also would like to thank Daniel Davis for pointing out the mistake in Lemma 6.1 in the preprint version of the paper. This work was partially supported by JSPS KAKENHI Grant Number 25400092. Publisher Copyright: © 2017, Tbilisi Centre for Mathematical Sciences.

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N2 - 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.

AB - 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.

KW - Discrete G-spectrum

KW - Homotopy fixed points

KW - Quasi-category

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JF - Journal of Homotopy and Related Structures

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ER -

Discrete G-spectra and embeddings of module spectra

Abstract

Keywords

ASJC Scopus subject areas

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