Volume 10, issue 1 (2010)

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An involution on the $K$–theory of bimonoidal categories with anti-involution

Birgit Richter

Algebraic & Geometric Topology 10 (2010) 315–342
Bibliography
1 C Ausoni, J Rognes, Algebraic $K$–theory of topological $K$-theory, Acta Math. 188 (2002) 1 MR1947457
2 N A Baas, B I Dundas, B Richter, J Rognes, Ring completion of rig categories arXiv:0706.0531
3 N A Baas, B I Dundas, B Richter, J Rognes, Stable bundles over rig categories arXiv:0909.1742
4 N A Baas, B I Dundas, J Rognes, Two-vector bundles and forms of elliptic cohomology, from: "Topology, geometry and quantum field theory" (editor U Tillmann), London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press (2004) 18 MR2079370
5 D Barnes, Rational equivariant spectra, PhD thesis, University of Sheffield (2008) arXiv:0802.0954
6 M G Barratt, A free group functor for stable homotopy, from: "Algebraic topology (Proc. Sympos. Pure Math., Vol. XXII, Univ. Wisconsin, Madison, Wis., 1970)" (editor A Liulevicius), Amer. Math. Soc. (1971) 31 MR0324693
7 D Burghelea, Z Fiedorowicz, Hermitian algebraic $K$–theory of simplicial rings and topological spaces, J. Math. Pures Appl. $(9)$ 64 (1985) 175 MR820117
8 S U Chase, D K Harrison, A Rosenberg, Galois theory and Galois cohomology of commutative rings, Mem. Amer. Math. Soc. No. 52 (1965) 15 MR0195922
9 G Dunn, $K$–theory of braided tensor ring categories with higher commutativity, $K$–Theory 9 (1995) 591 MR1361586
10 G Dunn, $E_n$–ring categories, J. Pure Appl. Algebra 119 (1997) 27 MR1456092
11 A D Elmendorf, M A Mandell, Rings, modules, and algebras in infinite loop space theory, Adv. Math. 205 (2006) 163 MR2254311
12 F T Farrell, W C Hsiang, On the rational homotopy groups of the diffeomorphism groups of discs, spheres and aspherical manifolds, from: "Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., 1976), Part 1" (editor R J Milgram), Proc. Sympos. Pure Math. XXXII, Amer. Math. Soc. (1978) 325 MR520509
13 T A Kro, Involutions on $S[\Omega M]$, PhD thesis, University of Oslo (2005) arXiv:math.AT/0510221
14 M L Laplaza, Coherence for distributivity, from: "Coherence in categories" (editor S Mac Lane), Lecture Notes in Math. 281, Springer (1972) 29 MR0335598
15 S Mac Lane, Categories for the working mathematician, Graduate Texts in Math. 5, Springer (1998) MR1712872
16 J P May, $E_{\infty }$ ring spaces and $E_{\infty }$ ring spectra, Lecture Notes in Math. 577, Springer (1977) 268 MR0494077
17 J Rognes, Galois extensions of structured ring spectra. Stably dualizable groups, Mem. Amer. Math. Soc. 192 (2008) MR2387923
18 P Schauenburg, Hopf modules and Yetter–Drinfel$'\!$d modules, J. Algebra 169 (1994) 874 MR1302122
19 R J Steiner, Infinite loop structures on the algebraic $K$–theory of spaces, Math. Proc. Cambridge Philos. Soc. 90 (1981) 85 MR611287
20 W Vogell, The canonical involution on the algebraic $K$–theory of spaces, from: "Algebraic topology (Aarhus, 1982)" (editors I Madsen, B Oliver), Lecture Notes in Math. 1051, Springer (1984) 156 MR764578