Rational equivariant rigidity

David Barnes, Constanze Roitzheim

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Abstract

We prove that if G is S1 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.
Original languageEnglish
Title of host publicationAn Alpine Expedition through Algebraic Topology
EditorsChristian Ausoni, Kathryn Hess, Brenda Johnson, Wolfgang Lück, Jérôme Scherer
Number of pages18
Volume617
ISBN (Electronic)978-1-4704-1685-0
DOIs
Publication statusPublished - 2014

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    Barnes, D., & Roitzheim, C. (2014). Rational equivariant rigidity. In C. Ausoni, K. Hess, B. Johnson, W. Lück, & J. Scherer (Eds.), An Alpine Expedition through Algebraic Topology (Vol. 617) https://doi.org/10.1090/conm/617