Ostermaya, Dominik (2016). EQUIVARIANT Gamma-SPACES. Homol. Homotopy Appl., 18 (1). S. 295 - 325. SOMERVILLE: INT PRESS BOSTON, INC. ISSN 1532-0081
Full text not available from this repository.Abstract
The aim of this note is to provide a comprehensive treatment of the homotopy theory of Gamma-G-spaces for G a finite group. We introduce two level and stable model structures on Gamma-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-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-G-spaces and show that the functor from Gamma-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-G-spaces.
Item Type: | Journal Article | ||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-289163 | ||||||||
DOI: | 10.4310/HHA.2016.v18.n1.a16 | ||||||||
Journal or Publication Title: | Homol. Homotopy Appl. | ||||||||
Volume: | 18 | ||||||||
Number: | 1 | ||||||||
Page Range: | S. 295 - 325 | ||||||||
Date: | 2016 | ||||||||
Publisher: | INT PRESS BOSTON, INC | ||||||||
Place of Publication: | SOMERVILLE | ||||||||
ISSN: | 1532-0081 | ||||||||
Language: | English | ||||||||
Faculty: | Unspecified | ||||||||
Divisions: | Unspecified | ||||||||
Subjects: | no entry | ||||||||
Uncontrolled Keywords: |
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Refereed: | Yes | ||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/28916 |
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