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.

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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
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Abstract 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.
AbstractList Algebr. Geom. Topol. 17 (2017) 983-1020 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.
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.
Author Barnes, D
Greenlees, J P C
Kedziorek, M
Shipley, B
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BackLink https://doi.org/10.48550/arXiv.1511.03291$$DView paper in arXiv
https://doi.org/10.2140/agt.2017.17.983$$DView published paper (Access to full text may be restricted)
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Snippet We prove that the category of rational SO(2)-equivariant spectra has a simple algebraic model. Furthermore, all of our model categories and Quillen...
Algebr. Geom. Topol. 17 (2017) 983-1020 We prove that the category of rational SO(2)-equivariant spectra has a simple algebraic model. Furthermore, all of our...
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SubjectTerms Algebra
Mathematics - Algebraic Topology
Spectra
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Title Rational SO(2)-Equivariant Spectra
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