RATIONAL O(2)-EQUIVARIANT SPECTRA

被引：9

作者：

Barnes, David ^{[1
]}

机构：

[1] Queens Univ Belfast, Sch Math & Phys, Pure Math Res Ctr, Belfast BT7 1NN, Antrim, North Ireland

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2017年 / 19卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

equivariant spectrum; model category; right Bousfield localisation; ring spectrum; algebraic model; STABLE MODEL CATEGORIES; EQUIVARIANT SPECTRA; ADJUNCTIONS;

D O I：

10.4310/HHA.2017.v19.n1.a12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The category of rational O(2)-equivariant cohomology theories has an algebraic model A(O(2)), as established by work of Greenlees. That is, there is an equivalence of categories between the homotopy category of rational O(2)-equivariant spectra and the derived category of the abelian model DA(O(2)). In this paper we lift this equivalence of homotopy categories to the level of Quillen equivalences of model categories. This Quillen equivalence is also compatible with the Adams short exact sequence of the algebraic model.

引用

页码：225 / 252

页数：28

共 25 条

[1] Splitting monoidal stable model categories [J].