Volume 10, issue 1 (2010)

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Generalized spectral categories, topological Hochschild homology and trace maps

Gonçalo Tabuada

Algebraic & Geometric Topology 10 (2010) 137–213
Bibliography
1 J E Bergner, A model category structure on the category of simplicial categories, Trans. Amer. Math. Soc. 359 (2007) 2043 MR2276611
2 A Blumberg, M Mandell, Localization theorems in topological Hochschild homology and topological cyclic homology arXiv:0802.3938
3 M Bökstedt, Topological Hochschild homology, preprint (1990)
4 F Borceux, Handbook of categorical algebra. 2, Encyclopedia of Mathematics and its Applications 51, Cambridge University Press (1994) MR1313497
5 D C Cisinski, A Neeman, Additivity for derivator $K$–theory, Adv. Math. 217 (2008) 1381 MR2382732
6 V Drinfeld, DG quotients of DG categories, J. Algebra 272 (2004) 643 MR2028075
7 D Dugger, Replacing model categories with simplicial ones, Trans. Amer. Math. Soc. 353 (2001) 5003 MR1852091
8 D Dugger, Spectral enrichments of model categories, Homology, Homotopy Appl. 8 (2006) 1 MR2205213
9 D Dugger, B Shipley, Topological equivalences for differential graded algebras, Adv. Math. 212 (2007) 37 MR2319762
10 B I Dundas, T Goodwillie, R McCarthy, The local structure of algebraic $K$–theory
11 B I Dundas, R McCarthy, Topological Hochschild homology of ring functors and exact categories, J. Pure Appl. Algebra 109 (1996) 231 MR1388700
12 W G Dwyer, D M Kan, Function complexes in homotopical algebra, Topology 19 (1980) 427 MR584566
13 W G Dwyer, D M Kan, Simplicial localizations of categories, J. Pure Appl. Algebra 17 (1980) 267 MR579087
14 T Geisser, L Hesselholt, Topological cyclic homology of schemes, from: "Algebraic $K$–theory (Seattle, WA, 1997)", Proc. Sympos. Pure Math. 67, Amer. Math. Soc. (1999) 41 MR1743237
15 P G Goerss, J F Jardine, Simplicial homotopy theory, Progress in Mathematics 174, Birkhäuser Verlag (1999) MR1711612
16 A Grothendieck, Les Dérivateurs
17 L Hesselholt, I Madsen, Cyclic polytopes and the $K$–theory of truncated polynomial algebras, Invent. Math. 130 (1997) 73 MR1471886
18 L Hesselholt, I Madsen, On the $K$–theory of finite algebras over Witt vectors of perfect fields, Topology 36 (1997) 29 MR1410465
19 L Hesselholt, I Madsen, On the $K$–theory of local fields, Ann. of Math. $(2)$ 158 (2003) 1 MR1998478
20 P S Hirschhorn, Model categories and their localizations, Mathematical Surveys and Monographs 99, American Mathematical Society (2003) MR1944041
21 M Hovey, Model categories, Mathematical Surveys and Monographs 63, American Mathematical Society (1999) MR1650134
22 M Hovey, Spectra and symmetric spectra in general model categories, J. Pure Appl. Algebra 165 (2001) 63 MR1860878
23 M Hovey, B Shipley, J Smith, Symmetric spectra, J. Amer. Math. Soc. 13 (2000) 149 MR1695653
24 A Joyal, M Tierney, Strong stacks and classifying spaces, from: "Category theory (Como, 1990)", Lecture Notes in Math. 1488, Springer (1991) 213 MR1173014
25 B Keller, On differential graded categories, from: "International Congress of Mathematicians Vol II", Eur. Math. Soc., Zürich (2006) 151 MR2275593
26 S Mac Lane, Categories for the working mathematician, Graduate Texts in Mathematics 5, Springer (1998) MR1712872
27 D G Quillen, Homotopical algebra, Lecture Notes in Mathematics 43, Springer (1967) MR0223432
28 S Schwede, An untitled book project about symmetric spectra
29 S Schwede, B E Shipley, Algebras and modules in monoidal model categories, Proc. London Math. Soc. $(3)$ 80 (2000) 491 MR1734325
30 S Schwede, B Shipley, Equivalences of monoidal model categories, Algebr. Geom. Topol. 3 (2003) 287 MR1997322
31 S Schwede, B Shipley, Stable model categories are categories of modules, Topology 42 (2003) 103 MR1928647
32 B Shipley, $H\mathbb{Z}$–algebra spectra are differential graded algebras, Amer. J. Math. 129 (2007) 351 MR2306038
33 A E Stanculescu, A model category structure on the category of simplicial multicategories arXiv:0805.2611
34 G Tabuada, Une structure de catégorie de modèles de Quillen sur la catégorie des dg-catégories, C. R. Math. Acad. Sci. Paris 340 (2005) 15 MR2112034
35 G Tabuada, Théorie homotopique des DG-catégories, doctoral thesis, Université Paris VII (2007) arXiv:0710.4303
36 G Tabuada, Higher $K$–theory via universal invariants, Duke Math. J. 145 (2008) 121 MR2451292
37 G Tabuada, Homotopy theory of spectral categories, Adv. Math. 221 (2009) 1122 MR2518634
38 G Tabuada, Differential graded versus Simplicial categories, Topol. Appl. 157 (2010) 563
39 R W Thomason, Algebraic $K$–theory and étale cohomology, Ann. Sci. École Norm. Sup. $(4)$ 18 (1985) 437 MR826102
40 F Waldhausen, Algebraic $K$–theory of spaces, from: "Algebraic and geometric topology (New Brunswick, N.J., 1983)", Lecture Notes in Math. 1126, Springer (1985) 318 MR802796