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The chromatic colocalization of the spherical units is of height $1$

Shachar Carmeli

Geometry & Topology 29 (2025) 4449–4467
Bibliography
1 J F Adams, On the groups J(X), I, Topology 2 (1963) 181 MR159336
2 J F Adams, On the groups J(X), II, Topology 3 (1965) 137 MR198468
3 J F Adams, On the groups J(X). III, Topology 3 (1965) 193 MR198469
4 J F Adams, J H Gunawardena, H Miller, The Segal conjecture for elementary abelian p-groups, Topology 24 (1985) 435 MR816524
5 T Barthel, S Carmeli, T M Schlank, L Yanovski, The chromatic Fourier transform, Forum Math. Pi 12 (2024) MR4728491
6 R R Bruner, J Rognes, The Adams spectral sequence for the image-of-J spectrum, Trans. Amer. Math. Soc. 375 (2022) 5803 MR4469237
7 R Burklund, T M Schlank, A Yuan, The chromatic nullstellensatz, preprint (2022) arXiv:2207.09929
8 G Carlsson, Equivariant stable homotopy and Segal’s Burnside ring conjecture, Ann. of Math. 120 (1984) 189 MR763905
9 S Carmeli, On the strict Picard spectrum of commutative ring spectra, Compos. Math. 159 (2023) 1872 MR4622391
10 S Carmeli, T M Schlank, L Yanovski, Ambidexterity and height, Adv. Math. 385 (2021) 107763 MR4246977
11 S Carmeli, T M Schlank, L Yanovski, Ambidexterity in chromatic homotopy theory, Invent. Math. 228 (2022) 1145 MR4419631
12 S Carmeli, T M Schlank, L Yanovski, Chromatic cyclotomic extensions, Geom. Topol. 28 (2024) 3511 MR4843744
13 D Clausen, p-adic J-homomorphisms and a product formula, preprint (2011) arXiv:1110.5851
14 D Clausen, A Mathew, N Naumann, J Noel, Descent and vanishing in chromatic algebraic K-theory via group actions, Ann. Sci. Éc. Norm. Supér. 57 (2024) 1135 MR4773302
15 J Hahn, D Wilson, Redshift and multiplication for truncated Brown–Peterson spectra, Ann. of Math. 196 (2022) 1277 MR4503327
16 M J Hopkins, J H Smith, Nilpotence and stable homotopy theory, II, Ann. of Math. 148 (1998) 1 MR1652975
17 B Kahn, The Quillen–Lichtenbaum conjecture at the prime 2, preprint (1997)
18 M Land, A Mathew, L Meier, G Tamme, Purity in chromatically localized algebraic K-theory, J. Amer. Math. Soc. 37 (2024) 1011 MR4777639
19 C N Lee, On stable maps from Eilenberg–Mac Lane spaces to classifying spaces, Amer. J. Math. 114 (1992) 405 MR1156571
20 W H Lin, On conjectures of Mahowald, Segal and Sullivan, Math. Proc. Cambridge Philos. Soc. 87 (1980) 449 MR556925
21 J Lurie, Chromatic homotopy theory, online lecture notes (2010)
22 M Mahowald, The order of the image of the J-homomorphism, Bull. Amer. Math. Soc. 76 (1970) 1310 MR276962
23 H R Miller, S B Priddy, On G and the stable Adams conjecture, from: "Geometric applications of homotopy theory, II" (editors M G Barratt, M E Mahowald), Lecture Notes in Math. 658, Springer (1978) 331 MR513582
24 J Rognes, Chromatic redshift, preprint (2014) arXiv:1403.4838
25 J Rognes, C Weibel, Two-primary algebraic K-theory of rings of integers in number fields, J. Amer. Math. Soc. 13 (2000) 1 MR1697095
26 V Voevodsky, On motivic cohomology with ∕l-coefficients, Ann. of Math. 174 (2011) 401 MR2811603
27 F Waldhausen, Algebraic K-theory of spaces, localization, and the chromatic filtration of stable homotopy, from: "Algebraic topology" (editors I Madsen, B Oliver), Lecture Notes in Math. 1051, Springer (1984) 173 MR764579
28 G W Whitehead, On the homotopy groups of spheres and rotation groups, Ann. of Math. 43 (1942) 634 MR7107
29 A Yuan, The sphere of semiadditive height 1, Int. Math. Res. Not. 2024 (2024) 675 MR4686664