Algebraic & Geometric Topology Volume 16, issue 4 (2016)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Profinite and discrete $G\hskip-2pt$–spectra and iterated homotopy fixed points

Daniel G Davis and Gereon Quick

Algebraic & Geometric Topology 16 (2016) 2257–2303

DOI: 10.2140/agt.2016.16.2257

Bibliography

1	M Behrens, D G Davis, The homotopy fixed point spectra of profinite Galois extensions, Trans. Amer. Math. Soc. 362 (2010) 4983 MR2645058
2	E H Brown Jr., M Comenetz, Pontrjagin duality for generalized homology and cohomology theories, Amer. J. Math. 98 (1976) 1 MR0405403
3	D G Davis, Homotopy fixed points for L_K(n)(E_n ∧X) using the continuous action, J. Pure Appl. Algebra 206 (2006) 322 MR2235364
4	D G Davis, Explicit fibrant replacement for discrete G–spectra, Homology, Homotopy Appl. 10 (2008) 137 MR2475620
5	D G Davis, Iterated homotopy fixed points for the Lubin–Tate spectrum, Topology Appl. 156 (2009) 2881 MR2556043
6	D G Davis, Delta-discrete G–spectra and iterated homotopy fixed points, Algebr. Geom. Topol. 11 (2011) 2775 MR2846911
7	E S Devinatz, A Lyndon–Hochschild–Serre spectral sequence for certain homotopy fixed point spectra, Trans. Amer. Math. Soc. 357 (2005) 129 MR2098089
8	E S Devinatz, Homotopy groups of homotopy fixed point spectra associated to E_n, from: "Proceedings of the Nishida Fest" (editors M Ando, N Minami, J Morava, W S Wilson), Geom. Topol. Monogr. 10 (2007) 131 MR2402780
9	E S Devinatz, Towards the finiteness of π_∗L_K(n)S⁰, Adv. Math. 219 (2008) 1656 MR2458150
10	E S Devinatz, M J Hopkins, The action of the Morava stabilizer group on the Lubin–Tate moduli space of lifts, Amer. J. Math. 117 (1995) 669 MR1333942
11	E S Devinatz, M J Hopkins, Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups, Topology 43 (2004) 1 MR2030586
12	J D Dixon, M P F du Sautoy, A Mann, D Segal, Analytic pro-p groups, 61, Cambridge Univ. Press (1999) MR1720368
13	H Fausk, Equivariant homotopy theory for pro–spectra, Geom. Topol. 12 (2008) 103 MR2377247
14	P G Goerss, Homotopy fixed points for Galois groups, from: "The Čech centennial" (editors M Cenkl, H Miller), Contemp. Math. 181, Amer. Math. Soc. (1995) 187 MR1320993
15	P Goerss, H W Henn, M Mahowald, The homotopy of L₂V (1) for the prime 3, from: "Categorical decomposition techniques in algebraic topology" (editors G Arone, J Hubbuck, R Levi, M Weiss), Progr. Math. 215, Birkhäuser (2004) 125 MR2039763
16	P G Goerss, M J Hopkins, Moduli spaces of commutative ring spectra, from: "Structured ring spectra" (editors A Baker, B Richter), London Math. Soc. Lecture Note Ser. 315, Cambridge Univ. Press (2004) 151 MR2125040
17	M J Hopkins, M Mahowald, H Sadofsky, Constructions of elements in Picard groups, from: "Topology and representation theory" (editors E M Friedlander, M E Mahowald), Contemp. Math. 158, Amer. Math. Soc. (1994) 89 MR1263713
18	M Hovey, Spectra and symmetric spectra in general model categories, J. Pure Appl. Algebra 165 (2001) 63 MR1860878
19	M Hovey, N P Strickland, Morava K–theories and localisation, 666, Amer. Math. Soc. (1999) MR1601906
20	J F Jardine, Simplicial presheaves, J. Pure Appl. Algebra 47 (1987) 35 MR906403
21	J F Jardine, Generalized étale cohomology theories, 146, Birkhäuser (1997) MR1437604
22	S A Mitchell, Hypercohomology spectra and Thomason’s descent theorem, from: "Algebraic K–theory" (editor V P Snaith), Fields Inst. Commun. 16, Amer. Math. Soc. (1997) 221 MR1466977
23	G Quick, Continuous group actions on profinite spaces, J. Pure Appl. Algebra 215 (2011) 1024 MR2747236
24	G Quick, Continuous homotopy fixed points for Lubin–Tate spectra, Homology Homotopy Appl. 15 (2013) 191 MR3079204
25	G Quick, Profinite G–spectra, Homology Homotopy Appl. 15 (2013) 151 MR3079203
26	D C Ravenel, Nilpotence and periodicity in stable homotopy theory, 128, Princeton Univ. Press (1992) MR1192553
27	C Rezk, Notes on the Hopkins–Miller theorem, from: "Homotopy theory via algebraic geometry and group representations" (editors M Mahowald, S Priddy), Contemp. Math. 220, Amer. Math. Soc. (1998) 313 MR1642902
28	P Symonds, T Weigel, Cohomology of p–adic analytic groups, from: "New horizons in pro-p groups" (editors M du Sautoy, D Segal, A Shalev), Progr. Math. 184, Birkhäuser (2000) 349 MR1765127
29	R W Thomason, Algebraic K–theory and étale cohomology, Ann. Sci. École Norm. Sup. 18 (1985) 437 MR826102
30	C Westerland, A higher chromatic analogue of the image of J, preprint (2015) arXiv:1210.2472