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Classifying rational $G$–spectra for profinite $G$

David Barnes and Danny Sugrue

Algebraic & Geometric Topology 24 (2024) 3801–3825
Bibliography
1 D Barnes, Rational equivariant spectra, PhD thesis, University of Sheffield (2008) arXiv:0802.0954
2 D Barnes, Rational p–equivariant spectra, Algebr. Geom. Topol. 11 (2011) 2107 MR2826933
3 D Barnes, M Kędziorek, An introduction to algebraic models for rational G–spectra, from: "Equivariant topology and derived algebra", Lond. Math. Soc. Lect. Note Ser. 474, Cambridge Univ. Press (2022) 119 MR4327100
4 D Barnes, C Roitzheim, Foundations of stable homotopy theory, 185, Cambridge Univ. Press (2020) MR4211772
5 D Barnes, D Sugrue, Equivariant sheaves for profinite groups, Topology Appl. 319 (2022) 108215 MR4471609
6 D Barnes, D Sugrue, The equivalence between rational G–sheaves and rational G–Mackey functors for profinite G, Math. Proc. Cambridge Philos. Soc. 174 (2023) 345 MR4545209
7 W Bley, R Boltje, Cohomological Mackey functors in number theory, J. Number Theory 105 (2004) 1 MR2032439
8 I Castellano, T Weigel, Rational discrete cohomology for totally disconnected locally compact groups, J. Algebra 453 (2016) 101 MR3465350
9 M Dickmann, N Schwartz, M Tressl, Spectral spaces, 35, Cambridge Univ. Press (2019) MR3929704
10 H Fausk, Equivariant homotopy theory for pro-spectra, Geom. Topol. 12 (2008) 103 MR2377247
11 P Gartside, M Smith, Classifying spaces of subgroups of profinite groups, J. Group Theory 13 (2010) 315 MR2653522
12 P Gartside, M Smith, Counting the closed subgroups of profinite groups, J. Group Theory 13 (2010) 41 MR2604844
13 J Greenlees, Triangulated categories of rational equivariant cohomology theories, Oberwolfach Reports 3 (2006) 480
14 J P C Greenlees, Rational torus-equivariant stable homotopy, II : Algebra of the standard model, J. Pure Appl. Algebra 216 (2012) 2141 MR2925809
15 J P C Greenlees, J P May, Generalized Tate cohomology, 543, Amer. Math. Soc. (1995) MR1230773
16 M A Hill, K Mazur, An equivariant tensor product on Mackey functors, J. Pure Appl. Algebra 223 (2019) 5310 MR3975068
17 M A Hill, M J Hopkins, D C Ravenel, On the nonexistence of elements of Kervaire invariant one, Ann. of Math. 184 (2016) 1 MR3505179
18 S Illman, The equivariant triangulation theorem for actions of compact Lie groups, Math. Ann. 262 (1983) 487 MR696520
19 L G Lewis Jr., J P May, M Steinberger, J E McClure, Equivariant stable homotopy theory, 1213, Springer (1986) MR866482
20 H Lindner, A remark on Mackey-functors, Manuscripta Math. 18 (1976) 273 MR401864
21 M A Mandell, J P May, Equivariant orthogonal spectra and S–modules, 755, Amer. Math. Soc. (2002) MR1922205
22 M A Mandell, J P May, S Schwede, B Shipley, Model categories of diagram spectra, Proc. Lond. Math. Soc. 82 (2001) 441 MR1806878
23 L Ribes, P Zalesskii, Profinite groups, 40, Springer (2000) MR1775104
24 S Schwede, B Shipley, Stable model categories are categories of modules, Topology 42 (2003) 103 MR1928647
25 G Segal, Equivariant K–theory, Inst. Hautes Études Sci. Publ. Math. 34 (1968) 129 MR234452
26 D Sugrue, Injective dimension of sheaves of rational vector spaces, J. Pure Appl. Algebra 223 (2019) 3112 MR3912961
27 D Sugrue, Rational G–spectra for profinite G, PhD thesis, Queen’s University Belfast (2019) arXiv:1910.12951
28 J Thévenaz, P Webb, The structure of Mackey functors, Trans. Amer. Math. Soc. 347 (1995) 1865 MR1261590
29 U Thiel, Mackey functors and abelian class field theories, preprint (2011) arXiv:1111.0942
30 J Williamson, Algebraic models of change of groups functors in (co)free rational equivariant spectra, J. Pure Appl. Algebra 226 (2022) 107108 MR4414841
31 J S Wilson, Profinite groups, 19, Oxford Univ. Press (1998) MR1691054