Algebraic & Geometric Topology Volume 14, issue 3 (2014)

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Fixed point adjunctions for equivariant module spectra

J P C Greenlees and Brooke Shipley

Algebraic & Geometric Topology 14 (2014) 1779–1799

DOI: 10.2140/agt.2014.14.1779

Bibliography

1	G Carlsson, Equivariant stable homotopy and Segal's Burnside ring conjecture, Ann. of Math. 120 (1984) 189 MR763905
2	B Day, On closed categories of functors, from: "Reports of the Midwest Category Seminar, IV", Lecture Notes in Mathematics 137, Springer (1970) 1 MR0272852
3	A W M Dress, Contributions to the theory of induced representations, from: "Algebraic $K\!$–theory, II: “Classical” algebraic $K\!$–theory and connections with arithmetic" (editor H Bass), Lecture Notes in Math. 342, Springer (1973) 183 MR0384917
4	W G Dwyer, Strong convergence of the Eilenberg–Moore spectral sequence, Topology 13 (1974) 255 MR0394663
5	A D Elmendorf, I Kriz, M A Mandell, J P May, Rings, modules, and algebras in stable homotopy theory, Mathematical Surveys and Monographs 47, Amer. Math. Soc. (1997) MR1417719
6	J P C Greenlees, Equivariant functional duals and completions at ideals of the Burnside ring, Bull. London Math. Soc. 23 (1991) 163 MR1122904
7	J P C Greenlees, A rational splitting theorem for the universal space for almost free actions, Bull. London Math. Soc. 28 (1996) 183 MR1367167
8	J P C Greenlees, Rational $S^1$–equivariant stable homotopy theory, Mem. Amer. Math. Soc. 661, Amer. Math. Soc. (1999) MR1483831
9	J P C Greenlees, J P May, Completions of $G$–spectra at ideals of the Burnside ring, from: "Adams Memorial Symposium on Algebraic Topology, 2" (editors N Ray, G Walker), London Math. Soc. Lecture Note Ser. 176, Cambridge Univ. Press (1992) 145 MR1232204
10	J P C Greenlees, J P May, Some remarks on the structure of Mackey functors, Proc. Amer. Math. Soc. 115 (1992) 237 MR1076574
11	J P C Greenlees, J P May, Generalized Tate cohomology, Mem. Amer. Math. Soc. 543, Amer. Math. Soc. (1995) MR1230773
12	J P C Greenlees, B Shipley, An algebraic model for free rational $G$–spectra, to appear in Bull London Math. Soc arXiv:1101.4818
13	J P C Greenlees, B Shipley, An algebraic model for rational torus-equivariant stable homotopy theory, arXiv:1101.2511v3
14	J P C Greenlees, B Shipley, An algebraic model for rational torus-equivariant stable homotopy theory, new version in preparation
15	J P C Greenlees, B Shipley, The cellularization principle for Quillen adjunctions, arXiv:1301.5583
16	M Hill, M Hopkins, Equivariant multiplicative closure, arXiv:1303.4479
17	P S Hirschhorn, Model categories and their localizations, Mathematical Surveys and Monographs 99, Amer. Math. Soc. (2003) MR1944041
18	L G Lewis Jr., The category of Mackey functors for a compact Lie group, from: "Group representations: cohomology, group actions and topology" (editors A Adem, J Carlson, S Priddy, P Webb), Proc. Sympos. Pure Math. 63, Amer. Math. Soc. (1998) 301 MR1603183
19	L G Lewis Jr., J P May, M Steinberger, J E McClure, Equivariant stable homotopy theory, Lecture Notes in Mathematics 1213, Springer (1986) MR866482
20	M A Mandell, $E_\infty$ algebras and $p$–adic homotopy theory, Topology 40 (2001) 43 MR1791268
21	M A Mandell, J P May, Equivariant orthogonal spectra and $S$–modules, Mem. Amer. Math. Soc. 755, Amer. Math. Soc. (2002) MR1922205
22	J E McClure, $E_\infty$–ring structures for Tate spectra, Proc. Amer. Math. Soc. 124 (1996) 1917 MR1307549
23	S Schwede, B Shipley, Equivalences of monoidal model categories, Algebr. Geom. Topol. 3 (2003) 287 MR1997322
24	S Schwede, B Shipley, Stable model categories are categories of modules, Topology 42 (2003) 103 MR1928647
25	J Ullman, Tambara functors and commutative ring spectra, arXiv:1304.4912