Geodesic
Equivariant $\Gamma$-spaces
Homology, homotopy, and applications, Tome 18 (2016) no. 1, pp. 295-324.

Voir la notice de l'article provenant de la source International Press of Boston

The aim of this note is to provide a comprehensive treatment of the homotopy theory of $\Gamma \textrm{-}G$-spaces for $G$ a finite group. We introduce two level and stable model structures on $\Gamma \textrm{-}G$-spaces and exhibit Quillen adjunctions to $G$-symmetric spectra with respect to a flat level and a stable flat model structure, respectively. Then we give a proof that $\Gamma \textrm{-}G$-spaces model connective equivariant stable homotopy theory along the lines of the proof in the non-equivariant setting given by Bousfield and Friedlander. Furthermore, we study the smash product of $\Gamma \textrm{-}G$-spaces and show that the functor from $\Gamma \textrm{-}G$-spaces to G-symmetric spectra commutes with the derived smash product. Finally, we show that there is a good notion of geometric fixed points for $\Gamma \textrm{-}G$-spaces.
DOI : 10.4310/HHA.2016.v18.n1.a16
Classification : 55P47, 55P91
Keywords: equivariant homotopy theory, infinite loop spaces 
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     author = {Dominik Ostermayr},
     title = {Equivariant $\Gamma$-spaces},
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     pages = {295--324},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n1.a16/}
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Dominik Ostermayr. Equivariant $\Gamma$-spaces. Homology, homotopy, and applications, Tome 18 (2016) no. 1, pp. 295-324. doi : 10.4310/HHA.2016.v18.n1.a16. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n1.a16/

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