Rational SO(2)- equivariant spectra

被引：11

作者：

Barnes, David ^{[1
]}

Greenlees, J. P. C.

Kedziorek, Magdalena

Shipley, Brooke

机构：

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

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2017年 / 17卷 / 02期

基金：

美国国家科学基金会; 英国工程与自然科学研究理事会;

关键词：

STABLE MODEL CATEGORIES; MODULE SPECTRA; ADJUNCTIONS; ALGEBRA;

D O I：

10.2140/agt.2017.17.983

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the category of rational SO(2)-equivariant spectra has a simple algebraic model. Furthermore, all of our model categories and Quillen equivalences are monoidal, so we can use this classification to understand ring spectra and module spectra via the algebraic model.

引用

页码：983 / 1020

页数：38

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