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Stratification and duality for homotopical groups

Barthel, Tobias ; Castellana, Natàlia ; Heard, Drew ; Valenzuela, Gabriel


We generalize Quillen's F-isomorphism theorem, Quillen's stratification theorem, the stable transfer, and the finite generation of cohomology rings from finite groups to homotopical groups. As a consequence, we show that the category of module spectra over C* (BG, F-p) is stratified and costratified for a large class of p-local compact groups g 3 including compact Lie groups, connected p-compact ...


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