Universität zu Köln

Ostermaya, Dominik (2016). EQUIVARIANT Gamma-SPACES. Homol. Homotopy Appl., 18 (1). S. 295 - 325. SOMERVILLE: INT PRESS BOSTON, INC. ISSN 1532-0081

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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:	Creators Email ORCID ORCID Put Code Ostermaya, Dominik UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language SPECTRA; CATEGORIES Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/28916