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Rational Equivariant Rigidity

Barnes, David and Roitzheim, Constanze (2014) Rational Equivariant Rigidity. In: Ausoni, Christian and Hess, Kathryn and Johnson, Brenda and Luck, Wolfgang and Scherer, Jerome, eds. An Alpine Expedition through Algebraic Topology: Fourth Arolla Conference Algebraic Topology August 20–25, 2012 Arolla, Switzerland. Contemporary Mathematics, 617 (1). Providence, RI; American Mathematical Society, pp. 13-30. ISBN 978-0-8218-9145-2. E-ISBN 978-1-4704-1685-0. (doi:10.1090/conm/617) (KAR id:41373)

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We prove that if G is S^1 or a profinite group, then all of the homotopical information of the category of rational G-spectra is captured by the triangulated structure of the rational G-equivariant stable homotopy category. That is, for G profinite or S1, the rational G-equivariant stable homotopy category is rigid. For the case of profinite groups this rigidity comes from an intrinsic formality statement, so we carefully relate the notion of intrinsic formality of a differential graded algebra to rigidity.

Item Type: Book section
DOI/Identification number: 10.1090/conm/617
Uncontrolled keywords: Stable homotopy theory, model categories
Subjects: Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology > QA612 Algebraic topology
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Constanze Roitzheim
Date Deposited: 10 Jun 2014 10:19 UTC
Last Modified: 09 Dec 2022 02:38 UTC
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