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K-theory and Noncommutative Geometry.pdf

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148 M. Karoubi[6] M. F. Atiyah, R. Bott and A. Shapiro, Clifford modules, Topology 3 (1964), 3–38.[7] M. F. Atiyah and M. Hopkins, A variant of K-theory, in Topology, geometry and quantumfield theory, London Math. Soc. Lecture Note Ser. 308, Cambridge University Press,Cambridge 2004, 5–17.[8] M. F. Atiyah and G. Segal, Twisted K-theory. Ukr. Mat. Visn. 1 (2004), 287–330; Englishtransl. Ukrain. Math. Bull. 1 (2004), 291–334 .[9] M. F. Atiyah and G. Segal, Twisted K-theory and cohomology, Nankai Tracts Math. 11(2006), 5–43.[10] M. F. Atiyah and I. M. Singer, Index theory for skew adjoint Fredholm operators, Inst.Hautes Études Sci. Publ. Math. 37 (1969), 5–26 (compare with [32]).[11] P. Baum andA. Connes, Chern character for discrete groups, in A fête of Topology,AcademicPress, Boston, MA, 1988, 163–232.[12] B. Blackadar, K-theory for operator algebras, 2nd ed., Math. Sci. Res. Inst. Publ. 5, CambridgeUniversity Press, Cambridge 1998.[13] P. Bouwknegt, A. L. Carey, V. Mathai, M. K. Murray and D. Stevenson, Twisted K-theoryand K-theory of Bundle Gerbes, Commun. Math. Phys. 228 (2002), 17–45.[14] A. Borel et J.-P. Serre, Le théorème de Riemann-Roch (d’après Grothendieck), Bull. Soc.Math. France 86 (1958), 97–136.[15] R. Bott, The stable homotopy of the classical groups, Ann. of Math. 70 (1959), 313–337.[16] A. L. Carey and Bai-Ling Wang, Thom isomorphism and push-forward maps in twistedK-theory, Preprint 2006, math. KT/0507414.[17] D. Crocker, A. Kumjian, I. Raeburn, D. P. Williams, An equivariant Brauer group and actionof groups on C*-algebras, J. Funct. Anal. 146 (1997), 151–184.[18] J. Dixmier et A. Douady, Champs continus d’espaces hilbertiens et de C*-algèbres, Bull.Soc. Math. France 91 (1963), 227–284.[19] P. Donovan and M. Karoubi, Graded Brauer groups and K-theory with local coefficients,Inst. Hautes Études Sci. Publ. Math. 38 (1970), 5–25; French summary in: Groupe de Braueret coefficients locaux en K-théorie, Comptes Rendus Acad. Sci. Paris 269 (1969), 387–389.[20] A. T. Fomenko and A. S. Miscenko, The index of elliptic operators over C*-algebras, Izv.Akad. Nauk. SSSR Ser. Mat. 43 (1979), 831–859.[21] D. S. Freed, Twisted K-theory and loop groups, Preprint 2002, arXiv:math/0206237.[22] D. S. Freed, M. Hopkins and C. Teleman, Twisted K-theory and loop group representations,Preprint 2005, arXiv:math/0312155; Loop Groups and Twisted K-Theory II, Preprint 2007,arXiv:math/0511232.[23] D. S. Freed, M. Hopkins and C. Teleman, Twisted equivariant K-theory with complexcoefficients, J. Topol. 1 (2008), 16–44.[24] A. Fröhlich and C. T. C. Wall, Equivariant Brauer groups, in Quadratic forms and theirapplications (Dublin, 1999), Contemp. Math. 272, Amer. Math. Soc., Providence, RI, 2000,57–71.[25] A. Grothendieck, Le groupe de Brauer, Séminaire Bourbaki Vol. 9, Exp. No. 290, Soc.Math. France, Paris 1995, 199–219.

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