Rational SO(2)-Equivariant Spectra

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.

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Barnes, D, Greenlees, J P C, Kedziorek, M, Shipley, B
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.11.2015
Subjects
Algebra
Mathematics - Algebraic Topology
Spectra
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1511.03291