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  An algebraic model for rational toral G-spectra

Barnes, D., Greenlees, J. P. C., & Kędziorek, M. (2019). An algebraic model for rational toral G-spectra. Algebraic & Geometric Topology, 19(7), 3541-3599. doi:10.2140/agt.2019.19.3541.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-3F33-B Version Permalink: https://hdl.handle.net/21.11116/0000-000B-1BD5-7
Genre: Journal Article

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Barnes-Greenlees-Kedziorek_An algebraic model for rational toral G-spectra_2019.pdf (Publisher version), 592KB
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Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer Allianz- bzw. Nationallizenz frei zugänglich. / This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence respectively.
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 Creators:
Barnes, David, Author
Greenlees, J. P. C., Author
Kędziorek, Magdalena1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Topology
 Abstract: For G a compact Lie group, toral G–spectra are those rational G–spectra whose
geometric isotropy consists of subgroups of a maximal torus of G. The homotopy
category of rational toral G–spectra is a retract of the category of all rational G–
spectra.
We show that the abelian category of Greenlees (Algebr. Geom. Topol. 16 (2016)
1953–2019) gives an algebraic model for the toral part of rational G–spectra. This
is a major step in establishing an algebraic model for all rational G–spectra for any
compact Lie group G.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 60
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1805.08828
DOI: 10.2140/agt.2019.19.3541
URI: http://arxiv.org/abs/1805.08828
 Degree: -

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Title: Algebraic & Geometric Topology
  Abbreviation : Algebr. Geom. Topol.
Source Genre: Journal
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Publ. Info: Mathematical Sciences Publishers
Pages: - Volume / Issue: 19 (7) Sequence Number: - Start / End Page: 3541 - 3599 Identifier: -