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Volumn 120, Issue 5, 1998, Pages 901-954

The Brauer group of a locally compact groupoid

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EID: 0039657091     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (44)

References (57)
  • 2
    • 0001999817 scopus 로고
    • On unitary ray representations of continuous groups
    • V. Bargmann, On unitary ray representations of continuous groups, Ann. of Math. 59 (1954), 1-46.
    • (1954) Ann. of Math. , vol.59 , pp. 1-46
    • Bargmann, V.1
  • 3
    • 84972500521 scopus 로고
    • Stable isomorphism and strong Morita equivalence of C*-algebras
    • L. G. Brown, P. Green, and M. A. Rieffel, Stable isomorphism and strong Morita equivalence of C*-algebras, Pacific J. Math. 71 (1977), 349-363.
    • (1977) Pacific J. Math. , vol.71 , pp. 349-363
    • Brown, L.G.1    Green, P.2    Rieffel, M.A.3
  • 4
    • 0002985964 scopus 로고
    • Crossed products and Morita equivalence
    • F. Combes, Crossed products and Morita equivalence, Proc. London Math. Soc. 49 (1984), 289-306.
    • (1984) Proc. London Math. Soc. , vol.49 , pp. 289-306
    • Combes, F.1
  • 5
    • 0031139165 scopus 로고    scopus 로고
    • An equivariant Brauer group and actions of groups on C*-algebras
    • D. Crocker, A. Kumjian, I. Raeburn, and D. P. Williams, An equivariant Brauer group and actions of groups on C*-algebras, J. Funct. Anal. 146 (1997), 151-184.
    • (1997) J. Funct. Anal. , vol.146 , pp. 151-184
    • Crocker, D.1    Kumjian, A.2    Raeburn, I.3    Williams, D.P.4
  • 6
    • 84968488987 scopus 로고
    • Crossed products of strongly Morita equivalent C*-algebras
    • R. E. Curto, P. Muhly, and D. P. Williams, Crossed products of strongly Morita equivalent C*-algebras, Proc. Amer. Math. Soc. 90 (1984), 528-530.
    • (1984) Proc. Amer. Math. Soc. , vol.90 , pp. 528-530
    • Curto, R.E.1    Muhly, P.2    Williams, D.P.3
  • 7
    • 0039277151 scopus 로고
    • G-spaces and topological groupoids
    • M. K. Dakin and A. K. Seda, G-spaces and topological groupoids, Glas. Mat. Ser. III 12 (1977), 191-198.
    • (1977) Glas. Mat. Ser. III , vol.12 , pp. 191-198
    • Dakin, M.K.1    Seda, A.K.2
  • 8
    • 0002940839 scopus 로고
    • Champs continus d'espaces Hilbertiens et de C*-algèbres, II
    • J. Dixmier, Champs continus d'espaces Hilbertiens et de C*-algèbres, II. J. Math. Pures Appl. 42 (1963), 1-20.
    • (1963) J. Math. Pures Appl. , vol.42 , pp. 1-20
    • Dixmier, J.1
  • 9
    • 0003421383 scopus 로고
    • North-Holland, New York
    • _, C*-algebras, North-Holland, New York, 1977.
    • (1977) C*-algebras
  • 10
    • 0001395815 scopus 로고
    • Champs continus d'espaces hilbertiens et de C*-algèbres
    • J. Dixmier and 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
  • 12
    • 0003242233 scopus 로고
    • An extension of Mackey's method to Banach *-algebraic bundles
    • J. M. G. Fell, An extension of Mackey's method to Banach *-algebraic bundles, Mem. Amer. Math. Soc. 90 (1969), 1-168.
    • (1969) Mem. Amer. Math. Soc. , vol.90 , pp. 1-168
    • Fell, J.M.G.1
  • 16
    • 0000154722 scopus 로고
    • The local structure of twisted covariance algebras
    • _, The local structure of twisted covariance algebras, Acta Math. 140 (1978), 191-250.
    • (1978) Acta Math. , vol.140 , pp. 191-250
  • 17
    • 84972570012 scopus 로고
    • Sur quelques points d'algèbre homologique
    • A. Grothendieck, Sur quelques points d'algèbre homologique, Tǒhoku Math. J. 9 (1957), 119-221.
    • (1957) Tǒhoku Math. J. , vol.9 , pp. 119-221
    • Grothendieck, A.1
  • 18
    • 0002866605 scopus 로고
    • Le groupe de brauer I: Algèbres d'Azumaya et interpretations diverses
    • North-Holland, Amsterdam
    • _, Le groupe de Brauer I: algèbres d'Azumaya et interpretations diverses, Dix Exposés sur la Cohomology des Schemas (Amsterdam), North-Holland, Amsterdam, 1968, pp. 46-66.
    • (1968) Dix Exposés sur la Cohomology des Schemas (Amsterdam) , pp. 46-66
  • 23
    • 0001396676 scopus 로고
    • On C*-diagonals
    • _, On C*-diagonals, Canad. J. Math. 38 (1986), 969-1008.
    • (1986) Canad. J. Math. , vol.38 , pp. 969-1008
  • 24
    • 0011007604 scopus 로고
    • On equivariant sheaf cohomology and elementary C*-bundles
    • _, On equivariant sheaf cohomology and elementary C*-bundles, J. Operator Theory 20 (1988), 207-240.
    • (1988) J. Operator Theory , vol.20 , pp. 207-240
  • 27
    • 21344466703 scopus 로고    scopus 로고
    • The equivariant Brauer groups of commuting free and proper actions are isomorphic
    • A. Kumjian, I. Raeburn, and D. P. Williams, The equivariant Brauer groups of commuting free and proper actions are isomorphic, Proc. Amer. Math. Soc. 124 (1996), 809-817.
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 809-817
    • Kumjian, A.1    Raeburn, I.2    Williams, D.P.3
  • 29
    • 84931205353 scopus 로고
    • Borel structures in groups and their duals
    • G. W. Mackey, Borel structures in groups and their duals, Trans. Amer. Math. Soc. 85 (1957), 134-165.
    • (1957) Trans. Amer. Math. Soc. , vol.85 , pp. 134-165
    • Mackey, G.W.1
  • 30
    • 34250512548 scopus 로고
    • Unitary representations of group extensions. I
    • _, Unitary representations of group extensions. I, Acta Math. 99 (1958), 265-311.
    • (1958) Acta Math. , vol.99 , pp. 265-311
  • 31
    • 0000782592 scopus 로고
    • Ergodic theory, group theory and differential geometry, proc
    • _, Ergodic theory, group theory and differential geometry, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 1184-1191.
    • (1963) Nat. Acad. Sci. U.S.A. , vol.50 , pp. 1184-1191
  • 32
    • 85008046723 scopus 로고
    • Groupoid dynamical systems and crossed product. II: The case of C*-systems
    • T. Masuda, Groupoid dynamical systems and crossed product. II: the case of C*-systems, Publ. Res. Inst. Math. Sci. 20 (1984), 959-970.
    • (1984) Publ. Res. Inst. Math. Sci. , vol.20 , pp. 959-970
    • Masuda, T.1
  • 33
    • 84963045797 scopus 로고
    • Group extensions and cohomology for locally compact groups. III
    • C. C. Moore, Group extensions and cohomology for locally compact groups. III, Trans. Amer. Math. Soc. 221 (1976), 1-33.
    • (1976) Trans. Amer. Math. Soc. , vol.221 , pp. 1-33
    • Moore, C.C.1
  • 34
    • 84963045797 scopus 로고
    • Group extensions and cohomology for locally compact groups. IV
    • _, Group extensions and cohomology for locally compact groups. IV, Trans. Amer. Math. Soc. 221 (1976), 34-58.
    • (1976) Trans. Amer. Math. Soc. , vol.221 , pp. 34-58
  • 35
    • 0001837767 scopus 로고
    • Equivalence and isomorphism for groupoid C*-algebras
    • P. S. Muhly, J. Renault, and D. P. 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.S.1    Renault, J.2    Williams, D.P.3
  • 36
    • 0002321698 scopus 로고
    • Continuous trace groupoid C*-algebras
    • P. S. Muhly and D. P. Williams, Continuous trace groupoid C*-algebras, Math. Scand. 66 (1990), 231-241.
    • (1990) Math. Scand. , vol.66 , pp. 231-241
    • Muhly, P.S.1    Williams, D.P.2
  • 37
    • 0002145509 scopus 로고
    • Continuous trace groupoid C*-algebras. II
    • _, Continuous trace groupoid C*-algebras. II, Math. Scand. 70 (1992), 127-145.
    • (1992) Math. Scand. , vol.70 , pp. 127-145
  • 38
    • 0002257965 scopus 로고
    • Groupoid cohomology and the Dixmier-Douady class
    • _, Groupoid cohomology and the Dixmier-Douady class, Proc. London Math. Soc. 71 (1995), 109-134.
    • (1995) Proc. London Math. Soc. , vol.71 , pp. 109-134
  • 39
    • 0040643995 scopus 로고    scopus 로고
    • The equivariant Brauer groups of principal bundles
    • J. A. Packer, I. Raeburn, and D. P. Williams, The equivariant Brauer groups of principal bundles, J. Operator Theory 36 (1996), 73-105.
    • (1996) J. Operator Theory , vol.36 , pp. 73-105
    • Packer, J.A.1    Raeburn, I.2    Williams, D.P.3
  • 40
    • 0001489607 scopus 로고
    • Automorphisms of C*-algebras and second Čech cohomology
    • J. Phillips and I. Raeburn, Automorphisms of C*-algebras and second Čech cohomology, Indiana Univ. Math. J. 29 (1980), 799-822.
    • (1980) Indiana Univ. Math. J. , vol.29 , pp. 799-822
    • Phillips, J.1    Raeburn, I.2
  • 42
    • 84968486076 scopus 로고
    • On the Picard group of a continuous-trace C*-algebra
    • I. Raeburn, On the Picard group of a continuous-trace C*-algebra, Trans. Amer. Math. Soc. 263 (1981), 183-205.
    • (1981) Trans. Amer. Math. Soc. , vol.263 , pp. 183-205
    • Raeburn, I.1
  • 43
    • 84966221893 scopus 로고
    • Crossed products of continuous-trace C*-algebras by smooth actions
    • I. Raeburn and J. Rosenberg, Crossed products of continuous-trace C*-algebras by smooth actions, Trans. Amer. Math. Soc. 305 (1988), 1-45.
    • (1988) Trans. Amer. Math. Soc. , vol.305 , pp. 1-45
    • Raeburn, I.1    Rosenberg, J.2
  • 44
    • 84974249800 scopus 로고
    • Continuous-trace C*-algebras with given Dixmier-Douady class
    • I. Raeburn and J. L. 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.L.2
  • 45
    • 0000638272 scopus 로고
    • Pull-backs of C*-algebras and crossed products by certain diagonal actions
    • I. Raeburn and D. P. Williams, Pull-backs of C*-algebras and crossed products by certain diagonal actions, Trans. Amer. Math. Soc. 287 (1985), 755-777.
    • (1985) Trans. Amer. Math. Soc. , vol.287 , pp. 755-777
    • Raeburn, I.1    Williams, D.P.2
  • 46
    • 0000818293 scopus 로고
    • Dixmier-Douady classes of dynamical systems and crossed products
    • _, Dixmier-Douady classes of dynamical systems and crossed products, Canad. J. Math. 45 (1993), 1032-1066.
    • (1993) Canad. J. Math. , vol.45 , pp. 1032-1066
  • 47
    • 0001581451 scopus 로고
    • Topologies on measured groupoids
    • A. Ramsay, Topologies on measured groupoids, J. Funct. Anal. 47 (1982), 314-343.
    • (1982) J. Funct. Anal. , vol.47 , pp. 314-343
    • Ramsay, A.1
  • 50
    • 0002358215 scopus 로고
    • Représentations des produits croisés d'algèbres de groupoides
    • _, Représentations des produits croisés d'algèbres de groupoides, J. Operator Theory 18 (1987), 67-97.
    • (1987) J. Operator Theory , vol.18 , pp. 67-97
  • 51
    • 0011005454 scopus 로고
    • The ideal structure of groupoid crossed product C*-algebras
    • _, The ideal structure of groupoid crossed product C*-algebras, J. Operator Theory 25 (1991), 3-36.
    • (1991) J. Operator Theory , vol.25 , pp. 3-36
  • 52
    • 0001933794 scopus 로고
    • Unitary representations of group extensions: An algebraic approach to the theory of Mackey and Blattner
    • M. A. Rieffel, Unitary representations of group extensions: an algebraic approach to the theory of Mackey and Blattner, Adv. Math. (Suppl. Stud.) 4 (1979), 43-81.
    • (1979) Adv. Math. (Suppl. Stud.) , vol.4 , pp. 43-81
    • Rieffel, M.A.1
  • 54
    • 0000720459 scopus 로고
    • Asymptotic cycles
    • S. Schwartzman, Asymptotic cycles, Ann. of Math. 66 (1957), 270-284.
    • (1957) Ann. of Math. , vol.66 , pp. 270-284
    • Schwartzman, S.1
  • 55
    • 0010963509 scopus 로고
    • Twisted products of Banach algebras and 3rd Čech cohomology
    • Springer-Verlag, New York
    • J. L. Taylor, Twisted products of Banach algebras and 3rd Čech cohomology, K-theory and Operator Algebras, Lecture Notes in Math., vol. 575, Springer-Verlag, New York, 1977, pp. 157-174.
    • (1977) K-theory and Operator Algebras, Lecture Notes in Math. , vol.575 , pp. 157-174
    • Taylor, J.L.1
  • 57
    • 0001420838 scopus 로고
    • On unitary representations of the inhomogeneous Lorentz group
    • E. Wigner, On unitary representations of the inhomogeneous Lorentz group, Ann. of Math. 40 (1939), 149-204.
    • (1939) Ann. of Math. , vol.40 , pp. 149-204
    • Wigner, E.1


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