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- W2962943485 abstract "The category of rational G-equivariant cohomology theories for a compact Lie group G is the homotopy category of rational G-spectra and therefore tensor-triangulated. We show that its Balmer spectrum is the set of conjugacy classes of closed subgroups of G, with the topology corresponding to the topological poset of [7]. This is used to classify the collections of subgroups arising as the geometric isotropy of finite G-spectra. The ingredients for this classification are (i) the algebraic model of free spectra of the author and B. Shipley [14], (ii) the Localization Theorem of Borel–Hsiang–Quillen [21] and (iii) tom Dieck's calculation of the rational Burnside ring [4]." @default.
- W2962943485 created "2019-07-30" @default.
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- W2962943485 date "2019-07-01" @default.
- W2962943485 modified "2023-09-30" @default.
- W2962943485 title "The Balmer spectrum of rational equivariant cohomology theories" @default.
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- W2962943485 doi "https://doi.org/10.1016/j.jpaa.2018.10.001" @default.
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