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Volumn 37, Issue 6, 2004, Pages 841-910

Twisted K-theory of differentiable stacks

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EID: 14544273192     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ansens.2004.10.002     Document Type: Article
Times cited : (99)

References (77)
  • 1
    • 0038648318 scopus 로고    scopus 로고
    • Twisted orbifold K-theory
    • A. Adem Y. Ruan Twisted orbifold K-theory Comm. Math. Phys. 237 2003 533-556
    • (2003) Comm. Math. Phys. , vol.237 , pp. 533-556
    • Adem, A.1    Ruan, Y.2
  • 2
    • 0002717932 scopus 로고
    • Théorie des topos et cohomologie étale des schémas
    • Séminaire de géométrie algébrique 305 Springer Berlin
    • M. Artin et al. Théorie des topos et cohomologie étale des schémas, in: Séminaire de géométrie algébrique in: Lecture Notes in Mathematics vols. 269, 270, 305 1972-1973 Springer Berlin
    • (1972) Lecture Notes in Mathematics , vol.269-270
    • Artin, M.1
  • 3
    • 0003796910 scopus 로고
    • Lecture notes by D.W. Anderson
    • M. Atiyah K-theory. Lecture notes by D.W. Anderson 1967
    • (1967) K-theory
    • Atiyah, M.1
  • 6
    • 0000786020 scopus 로고
    • Chern character for discrete groups
    • Academic Press New York
    • P. Baum A. Connes Chern character for discrete groups, in: A fête of topology 1988 Academic Press New York 163-232
    • (1988) A Fête of Topology , pp. 163-232
    • Baum, P.1    Connes, A.2
  • 7
    • 0000952210 scopus 로고
    • Classifying space for proper actions and K-theory of group C*-algebras
    • C*-Algebras: 1943-1993 (San Antonio, TX, 1993) Amer. Math. Soc. Providence, RI
    • P. Baum A. Connes N. Higson Classifying space for proper actions and K-theory of group C*-algebras, in: C*-Algebras: 1943-1993 (San Antonio, TX, 1993) in: Contemp. Math. vol. 167 1994 Amer. Math. Soc. Providence, RI 240-291
    • (1994) Contemp. Math. , vol.167 , pp. 240-291
    • Baum, P.1    Connes, A.2    Higson, N.3
  • 10
    • 4644230896 scopus 로고    scopus 로고
    • Differentiable stacks and gerbes
    • in preparation
    • Behrend, K., Xu P., Differentiable stacks and gerbes, in preparation
    • Behrend, K.1    Xu, P.2
  • 11
    • 0003882539 scopus 로고    scopus 로고
    • second ed. Mathematical Sciences Research Institute Publications Cambridge: Cambridge University Press
    • B. Blackadar K-Theory for Operator Algebras second ed. Mathematical Sciences Research Institute Publications vol. 5 1998 Cambridge University Press Cambridge
    • (1998) K-Theory for Operator Algebras , vol.5
    • Blackadar, B.1
  • 12
    • 0000859258 scopus 로고    scopus 로고
    • Déformations de C*-algèbres de Hopf
    • E. Blanchard Déformations de C*-algèbres de Hopf Bull. Soc. Math. France 124 1996 141-215
    • (1996) Bull. Soc. Math. France , vol.124 , pp. 141-215
    • Blanchard, E.1
  • 13
    • 0000555802 scopus 로고
    • Principe d'Oka, K-théorie et systèmes dynamiques non commutatifs
    • J.-B. Bost Principe d'Oka, K-théorie et systèmes dynamiques non commutatifs Invent. Math. 101 1990 261-333
    • (1990) Invent. Math. , vol.101 , pp. 261-333
    • Bost, J.-B.1
  • 14
    • 0003241840 scopus 로고
    • Loop Spaces, Characteristic Classes and Geometric Quantization
    • Basel: Birkhäuser
    • J.-L. Brylinski Loop Spaces, Characteristic Classes and Geometric Quantization Progress in Mathematics vol. 107 1993 Birkhäuser Basel
    • (1993) Progress in Mathematics , vol.107
    • Brylinski, J.-L.1
  • 15
  • 17
    • 0002546810 scopus 로고
    • Cyclic Cohomology and the Transverse Fundamental Class of a Foliation
    • Longman Sci. Harlow
    • A. Connes Cyclic Cohomology and the Transverse Fundamental Class of a Foliation Pitman Research Notes Math. Ser. vol. 123 1986 Longman Sci. Harlow 52-144
    • (1986) Pitman Research Notes Math. Ser. , vol.123 , pp. 52-144
    • Connes, A.1
  • 19
    • 0242319576 scopus 로고    scopus 로고
    • Differentiable and algebroid cohomology, van Est isomorphisms, and characteristic classes
    • M. Crainic Differentiable and algebroid cohomology, van Est isomorphisms, and characteristic classes Comment. Math. Helv. 78 2003 681-721
    • (2003) Comment. Math. Helv. , vol.78 , pp. 681-721
    • Crainic, M.1
  • 20
  • 21
    • 0003421383 scopus 로고
    • Amsterdam: North Holland
    • J. Dixmier C*-Algebras 1977 North Holland Amsterdam
    • (1977) C*-Algebras
    • Dixmier, J.1
  • 22
    • 0001395815 scopus 로고
    • Champs continus d'espaces hilbertiens et de C*-algèbres
    • J. Dixmier A. Douady Champs continus d'espaces hilbertiens et de C*-algèbres Bull. Soc. Math. France 91 1963 227-284
    • (1963) Bull. Soc. Math. France , vol.91 , pp. 227-284
    • Dixmier, J.1    Douady, A.2
  • 23
    • 51649172095 scopus 로고
    • Graded Brauer groups and K-theory with local coefficients
    • P. Donovan M. Karoubi Graded Brauer groups and K-theory with local coefficients Inst. Hautes Études Sci. Publ. 38 1970 5-25
    • (1970) Inst. Hautes Études Sci. Publ. , vol.38 , pp. 5-25
    • Donovan, P.1    Karoubi, M.2
  • 24
    • 0037961171 scopus 로고
    • Curvature and Characteristic Classes
    • Berlin: Springer
    • J. Dupont Curvature and Characteristic Classes Lecture Notes in Mathematics vol. 640 1978 Springer Berlin
    • (1978) Lecture Notes in Mathematics , vol.640
    • Dupont, J.1
  • 26
    • 0003428560 scopus 로고
    • Representations of C*-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles
    • vol. 2 Academic Press Boston, MA
    • J. Fell R. Doran Representations of C*-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles, vol. 2 Pure and Applied Mathematics vol. 126 1988 Academic Press Boston, MA
    • (1988) Pure and Applied Mathematics , vol.126
    • Fell, J.1    Doran, R.2
  • 27
    • 0012150177 scopus 로고    scopus 로고
    • The Verlinde algebra is twisted equivariant K-theory
    • D. Freed The Verlinde algebra is twisted equivariant K-theory Turkish J. Math. 25 2001 159-167
    • (2001) Turkish J. Math. , vol.25 , pp. 159-167
    • Freed, D.1
  • 28
    • 0038934639 scopus 로고    scopus 로고
    • Bimodules, spectra, and Fell bundles
    • I. Fulman P. Muhly Bimodules, spectra, and Fell bundles Israel J. Math. 108 1998 193-215
    • (1998) Israel J. Math. , vol.108 , pp. 193-215
    • Fulman, I.1    Muhly, P.2
  • 31
    • 14544295651 scopus 로고
    • Le groupe de Brauer
    • Séminaire Bourbaki (1964/65) Exp. no 290
    • A. Grothendieck Le groupe de Brauer Séminaire Bourbaki (1964/65) Exp. no 290 Collection Hors Série de la S.M.F. 9 1995 199-219
    • (1995) Collection Hors Série de la S.M.F. , vol.9 , pp. 199-219
    • Grothendieck, A.1
  • 33
    • 0002514955 scopus 로고
    • Groupoïdes d'holonomie et classifiants
    • Structure transverse des feuilletages, Toulouse
    • A. Haefliger Groupoïdes d'holonomie et classifiants in: Structure transverse des feuilletages, Toulouse 1982 Astérisque 116 1984 70-97
    • (1984) Astérisque , vol.116 , pp. 70-97
    • Haefliger, A.1
  • 34
    • 38249034157 scopus 로고
    • On a technical theorem of Kasparov
    • N. Higson On a technical theorem of Kasparov J. Funct. Anal. 73 1987 107-112
    • (1987) J. Funct. Anal. , vol.73 , pp. 107-112
    • Higson, N.1
  • 35
    • 0006390003 scopus 로고    scopus 로고
    • The Baum-Connes conjecture
    • Proceedings of the International Congress of Mathematicians, vol. II (Berlin, 1998)
    • N. Higson The Baum-Connes conjecture, in: Proceedings of the International Congress of Mathematicians, vol. II (Berlin, 1998), Doc. Math., Extra vol. II 1998 637-646
    • (1998) Doc. Math., Extra , vol.2 , pp. 637-646
    • Higson, N.1
  • 36
  • 38
    • 0003177050 scopus 로고
    • Morphismes K-orientés d'espaces de feuilles et fonctorialité en théorie de Kasparov (d'après une conjecture d'A. Connes)
    • M. Hilsum G. Skandalis Morphismes K-orientés d'espaces de feuilles et fonctorialité en théorie de Kasparov (d'après une conjecture d'A. Connes) Ann. Sci. Éc. Norm. Sup. 20 1987 325-390
    • (1987) Ann. Sci. Éc. Norm. Sup. , vol.20 , pp. 325-390
    • Hilsum, M.1    Skandalis, G.2
  • 39
    • 0003288381 scopus 로고    scopus 로고
    • Lectures on special Lagrangian submanifolds
    • Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds (Cambridge, MA, 1999)
    • N. Hitchin Lectures on special Lagrangian submanifolds, in: Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds (Cambridge, MA, 1999) AMS/IP Stud. Adv. Math. 23 1999 151-182
    • (1999) AMS/IP Stud. Adv. Math. , vol.23 , pp. 151-182
    • Hitchin, N.1
  • 40
    • 21844484789 scopus 로고
    • Noncommutative geometry of tilings and gap labelling
    • J. Kellendonk Noncommutative geometry of tilings and gap labelling Rev. Math. Phys. 7 7 1995 1133-1180
    • (1995) Rev. Math. Phys. , vol.7 , Issue.7 , pp. 1133-1180
    • Kellendonk, J.1
  • 41
    • 14544271834 scopus 로고
    • An irreducible unitary representation of a compact group is finite dimensional
    • P. Koosis An irreducible unitary representation of a compact group is finite dimensional Proc. Amer. Math. Soc. 8 1957 712-715
    • (1957) Proc. Amer. Math. Soc. , vol.8 , pp. 712-715
    • Koosis, P.1
  • 42
    • 22044451834 scopus 로고    scopus 로고
    • Fell Bundles over groupoids
    • A. Kumjian Fell Bundles over groupoids Proc. Amer. Math. Soc. 128 1998 1115-1125
    • (1998) Proc. Amer. Math. Soc. , vol.128 , pp. 1115-1125
    • Kumjian, A.1
  • 44
    • 0001654550 scopus 로고    scopus 로고
    • Théorie de Kasparov équivariante et groupoïdes
    • P.-Y. Le Gall Théorie de Kasparov équivariante et groupoïdes K-Theory 16 1999 361-390
    • (1999) K-Theory , vol.16 , pp. 361-390
    • Le Gall, P.-Y.1
  • 45
    • 1842434508 scopus 로고    scopus 로고
    • Gerbes over orbifolds and twisted K-theory
    • E. Lupercio B. Uribe Gerbes over orbifolds and twisted K-theory Comm. Math. Phys. 245 2004 449-489
    • (2004) Comm. Math. Phys. , vol.245 , pp. 449-489
    • Lupercio, E.1    Uribe, B.2
  • 46
    • 0038806581 scopus 로고    scopus 로고
    • Chern character in twisted K-theory, equivariant and holomorphic cases
    • V. Mathai D. Stevenson Chern character in twisted K-theory, equivariant and holomorphic cases Comm. Math. Phys. 236 2003 161-186
    • (2003) Comm. Math. Phys. , vol.236 , pp. 161-186
    • Mathai, V.1    Stevenson, D.2
  • 47
    • 14544305984 scopus 로고    scopus 로고
    • The basic gerbe over a compact simple Lie group
    • E. Meinrenken The basic gerbe over a compact simple Lie group Enseign. Math. (2) 49 2003 307-333
    • (2003) Enseign. Math. , vol.49 , Issue.2 , pp. 307-333
    • Meinrenken, E.1
  • 48
    • 13244278645 scopus 로고    scopus 로고
    • Gerbes, (twisted) K-theory, and the supersymmetric WZW model
    • hep-th/0206139
    • J. Mickelsson Gerbes, (twisted) K-theory, and the supersymmetric WZW model hep-th/0206139
    • Mickelsson, J.1
  • 50
    • 14544305983 scopus 로고    scopus 로고
    • Groupoids of manifolds with corners and index theory
    • Groupoids in Analysis, Geometry, and Physics (Boulder, CO, 1999) Amer. Math. Soc. Providence, RI
    • B. Monthubert Groupoids of manifolds with corners and index theory, in: Groupoids in Analysis, Geometry, and Physics (Boulder, CO, 1999) Contemp. Math. vol. 282 2001 Amer. Math. Soc. Providence, RI 147-157
    • (2001) Contemp. Math. , vol.282 , pp. 147-157
    • Monthubert, B.1
  • 51
    • 0001469118 scopus 로고    scopus 로고
    • Functoriality of the bimodule associated to a Hilsum-Skandalis map
    • J. Mrčun Functoriality of the bimodule associated to a Hilsum-Skandalis map K-Theory 18 1999 235-253
    • (1999) K-Theory , vol.18 , pp. 235-253
    • Mrčun, J.1
  • 52
    • 1842545629 scopus 로고    scopus 로고
    • Orbifolds as groupoids: An introduction
    • Orbifolds in Mathematics and Physics (Madison, WI, 2001)
    • I. Moerdijk Orbifolds as groupoids: An introduction, in: Orbifolds in Mathematics and Physics (Madison, WI, 2001) Contemp. Math. vol. 310 2002 205-222
    • (2002) Contemp. Math. , vol.310 , pp. 205-222
    • Moerdijk, I.1
  • 53
    • 13244280079 scopus 로고    scopus 로고
    • Introduction to the language of stacks and gerbes
    • math.AT/0212266
    • I. Moerdijk Introduction to the language of stacks and gerbes math.AT/ 0212266
    • Moerdijk, I.1
  • 54
    • 0002083349 scopus 로고    scopus 로고
    • Orbifolds, sheaves and groupoids
    • I. Moerdijk D.A. Pronk Orbifolds, sheaves and groupoids K-Theory 12 1997 3-21
    • (1997) K-Theory , vol.12 , pp. 3-21
    • Moerdijk, I.1    Pronk, D.A.2
  • 55
    • 71449088776 scopus 로고    scopus 로고
    • Bundles over groupoids
    • Groupoids in Analysis, Geometry and Physics (Boulder, CO, 1999) Amer. Math. Soc. Providence, RI
    • P. Muhly Bundles over groupoids, in: Groupoids in Analysis, Geometry and Physics (Boulder, CO, 1999) Contemp. Math. vol. 282 2000 Amer. Math. Soc. Providence, RI 67-82
    • (2000) Contemp. Math. , vol.282 , pp. 67-82
    • Muhly, P.1
  • 56
    • 0001837767 scopus 로고
    • Equivalence and isomorphism for groupoid C*-algebras
    • P. Muhly J. Renault D. Williams Equivalence and isomorphism for groupoid C*-algebras J. Operator Theory 17 1987 3-22
    • (1987) J. Operator Theory , vol.17 , pp. 3-22
    • Muhly, P.1    Renault, J.2    Williams, D.3
  • 57
    • 14544274515 scopus 로고    scopus 로고
    • The analytic index for proper, Lie groupoid actions
    • Groupoids in Analysis, Geometry, and Physics (Boulder, CO, 1999) Amer. Math. Soc. Providence, RI
    • A. Paterson The analytic index for proper, Lie groupoid actions, in: Groupoids in Analysis, Geometry, and Physics (Boulder, CO, 1999) Contemp. Math. vol. 282 2001 Amer. Math. Soc. Providence, RI 115-135
    • (2001) Contemp. Math. , vol.282 , pp. 115-135
    • Paterson, A.1
  • 58
    • 0003216501 scopus 로고
    • C*-Algebras and their Automorphism Groups
    • Academic Press London
    • G. Pedersen C*-Algebras and their Automorphism Groups London Mathematical Society Monographs vol. 14 1979 Academic Press London
    • (1979) London Mathematical Society Monographs , vol.14
    • Pedersen, G.1
  • 60
    • 84974249800 scopus 로고
    • Continuous trace C*-algebras with given Dixmier-Douady class
    • I. Raeburn J. Taylor Continuous trace C*-algebras with given Dixmier-Douady class J. Austral. Math. Soc. Ser. A 38 1985 394-407
    • (1985) J. Austral. Math. Soc. Ser. A , vol.38 , pp. 394-407
    • Raeburn, I.1    Taylor, J.2
  • 61
    • 0001770986 scopus 로고
    • A Groupoid Approach to C*-Algebras
    • Berlin: Springer
    • J. Renault A Groupoid Approach to C*-Algebras Lecture Notes in Mathematics vol. 793 1980 Springer Berlin
    • (1980) Lecture Notes in Mathematics , vol.793
    • Renault, J.1
  • 62
    • 0002358215 scopus 로고
    • Représentation des produits croisés d'algèbres de groupoïdes
    • J. Renault Représentation des produits croisés d'algèbres de groupoïdes J. Operator Theory 18 1987 67-97
    • (1987) J. Operator Theory , vol.18 , pp. 67-97
    • Renault, J.1
  • 63
    • 84974277626 scopus 로고
    • Continuous-trace algebras from the bundle theoretic point of view
    • J. Rosenberg Continuous-trace algebras from the bundle theoretic point of view J. Austral. Math. Soc. Ser. A 47 1989 368-381
    • (1989) J. Austral. Math. Soc. Ser. A , vol.47 , pp. 368-381
    • Rosenberg, J.1
  • 64
    • 0013536041 scopus 로고
    • n(A) is local if A is local and Fréchet
    • n(A) is local if A is local and Fréchet Internat. J. Math. 3 4 1992 581-589
    • (1992) Internat. J. Math. , vol.3 , Issue.4 , pp. 581-589
    • Schweitzer, L.B.1
  • 67
    • 0036121814 scopus 로고    scopus 로고
    • The coarse Baum-Connes conjecture and groupoids
    • G. Skandalis J.L. Tu G. Yu The coarse Baum-Connes conjecture and groupoids Topology 41 4 2002 807-834
    • (2002) Topology , vol.41 , Issue.4 , pp. 807-834
    • Skandalis, G.1    Tu, J.L.2    Yu, G.3
  • 68
    • 26844537611 scopus 로고    scopus 로고
    • La conjecture de Novikov pour les feuilletages hyperboliques
    • J.-L. Tu La conjecture de Novikov pour les feuilletages hyperboliques K-Theory 16 1999 129-184
    • (1999) K-Theory , vol.16 , pp. 129-184
    • Tu, J.-L.1
  • 69
    • 0000051299 scopus 로고    scopus 로고
    • La conjecture de Baum-Connes pour les feuilletages moyennables
    • J.-L. Tu La conjecture de Baum-Connes pour les feuilletages moyennables K-Theory 17 3 1999 215-264
    • (1999) K-Theory , vol.17 , Issue.3 , pp. 215-264
    • Tu, J.-L.1
  • 71
    • 14544290963 scopus 로고
    • On primitive ideal spaces of C*-algebras over certain locally compact groupoids
    • Mappings of Operator Algebras (Philadelphia, PA, 1988) Birkhäuser Boston Boston, MA
    • S. Yamagami On primitive ideal spaces of C*-algebras over certain locally compact groupoids, in: Mappings of Operator Algebras (Philadelphia, PA, 1988) Progress in Math. vol. 84 1990 Birkhäuser Boston Boston, MA 199-204
    • (1990) Progress in Math. , vol.84 , pp. 199-204
    • Yamagami, S.1
  • 72
    • 0003927769 scopus 로고
    • K-theory and C*-algebras, A friendly approach
    • Oxford Science Publications New York: The Clarendon Press, Oxford University Press
    • N.E. Wegge-Olsen K-theory and C*-algebras, A friendly approach Oxford Science Publications 1993 The Clarendon Press, Oxford University Press New York
    • (1993)
    • Wegge-Olsen, N.E.1
  • 73
    • 51249194378 scopus 로고
    • Sur les théorèmes de De Rham
    • A. Weil Sur les théorèmes de De Rham Comment. Math. Helv. 26 1959 119-145
    • (1959) Comment. Math. Helv. , vol.26 , pp. 119-145
    • Weil, A.1
  • 74
    • 84941395030 scopus 로고
    • Extensions of symplectic groupoids and quantization
    • A. Weinstein P. Xu Extensions of symplectic groupoids and quantization J. Reine Angew. Math. 417 1991 159-189
    • (1991) J. Reine Angew. Math. , vol.417 , pp. 159-189
    • Weinstein, A.1    Xu, P.2
  • 75
    • 85028160130 scopus 로고    scopus 로고
    • D-branes and K-theory
    • E. Witten D-branes and K-theory J. High Energy Phys. 12 1998 19-44
    • (1998) J. High Energy Phys. , vol.12 , pp. 19-44
    • Witten, E.1
  • 76
    • 0035916585 scopus 로고    scopus 로고
    • Overview of K-theory applied to strings
    • Strings 2000. Proceedings of the International Superstrings Conference (Ann Arbor, MI)
    • E. Witten Overview of K-theory applied to strings, in: Strings 2000. Proceedings of the International Superstrings Conference (Ann Arbor, MI) Internat. J. Modern Phys. A 16 2001 693-706
    • (2001) Internat. J. Modern Phys. A , vol.16 , pp. 693-706
    • Witten, E.1
  • 77
    • 0007142194 scopus 로고
    • Morita equivalent symplectic groupoids
    • Symplectic Geometry, Groupoids, and Integrable systems (Berkeley, CA, 1989)
    • P. Xu Morita equivalent symplectic groupoids, in: Symplectic Geometry, Groupoids, and Integrable systems (Berkeley, CA, 1989) Math. Sci. Res. Inst. Publ. 20 1991 291-311
    • (1991) Math. Sci. Res. Inst. Publ. , vol.20 , pp. 291-311
    • Xu, P.1


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