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Volumn 241, Issue , 1997, Pages 7-27

Classification des C*-algèbres purement infinies nucléaires [d'après E. Kirchberg]

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EID: 33748565395     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (3)

References (48)
  • 1
    • 43949152204 scopus 로고
    • Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups
    • S. ADAMS, Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups, Topology 33 (1994), 765-783.
    • (1994) Topology , vol.33 , pp. 765-783
    • Adams, S.1
  • 3
    • 84972560216 scopus 로고
    • Notes on extensions of C*-algebras
    • W. ARVESON, Notes on extensions of C*-algebras, Duke Math. J. 44 (1977), 329-355.
    • (1977) Duke Math. J. , vol.44 , pp. 329-355
    • Arveson, W.1
  • 5
    • 0000943989 scopus 로고
    • The structure of stable algebraically simple C*-algebras
    • B. BLACKADAR, J. CUNTZ, The structure of stable algebraically simple C*-algebras, Amer. J. Math. 104 (1982), 813-822.
    • (1982) Amer. J. Math. , vol.104 , pp. 813-822
    • Blackadar, B.1    Cuntz, J.2
  • 6
    • 0000860149 scopus 로고
    • Dimension functions and traces on C*-algebras
    • B. BLACKADAR, D. HANDELMAN, Dimension functions and traces on C*-algebras, J. Functional Anal. 45 (1982), 297-340.
    • (1982) J. Functional Anal. , vol.45 , pp. 297-340
    • Blackadar, B.1    Handelman, D.2
  • 7
    • 0002931189 scopus 로고
    • Unitary equivalence modulo the compact operators and extensions of C*-algebras
    • Proc. Conf. on Operator Theory
    • L.G. BROWN, R.G. DOUGLAS, P.A. FILLMORE, Unitary equivalence modulo the compact operators and extensions of C*-algebras, Proc. Conf. on Operator Theory, Springer Lecture Notes in Math. 345 (1973), 58-128.
    • (1973) Springer Lecture Notes in Math. , vol.345 , pp. 58-128
    • Brown, L.G.1    Douglas, R.G.2    Fillmore, P.A.3
  • 9
    • 0001076509 scopus 로고
    • A simple C*-algebra generated by two finite order unitaries
    • M.-D. CHOI, A simple C*-algebra generated by two finite order unitaries, Can. J. Math. 31 (1979), 887-890.
    • (1979) Can. J. Math. , vol.31 , pp. 887-890
    • Choi, M.-D.1
  • 10
    • 0003116048 scopus 로고
    • Nuclear C*-algebras and the approximation property
    • M.-D. CHOI, E. EFFROS, Nuclear C*-algebras and the approximation property, Amer. J. Math. 100 (1978), 61-97.
    • (1978) Amer. J. Math. , vol.100 , pp. 61-97
    • Choi, M.-D.1    Effros, E.2
  • 11
    • 0000162835 scopus 로고
    • Déformations, morphismes asymptotiques et K-théorie
    • A. CONNES, N. HIGSON, Déformations, morphismes asymptotiques et K-théorie, C. R. Acad. Sci. Paris 310 (1990), 101-106.
    • (1990) C. R. Acad. Sci. Paris , vol.310 , pp. 101-106
    • Connes, A.1    Higson, N.2
  • 13
    • 3042722951 scopus 로고
    • Simple C*-algebras generated by isometrics
    • J. CUNTZ, Simple C*-algebras generated by isometrics, Commun. Math. Phys. 57 (1977), 173-185.
    • (1977) Commun. Math. Phys. , vol.57 , pp. 173-185
    • Cuntz, J.1
  • 14
    • 29444454791 scopus 로고
    • Dimension functions on simple C*-algebras
    • J. CUNTZ, Dimension functions on simple C*-algebras, Math. Ann. 233 (1978), 145-153.
    • (1978) Math. Ann. , vol.233 , pp. 145-153
    • Cuntz, J.1
  • 15
    • 0001106382 scopus 로고
    • K-theory for certain C*-algebras
    • J. CUNTZ, K-theory for certain C*-algebras, Ann. of Math. 113 (1981), 181-197.
    • (1981) Ann. of Math. , vol.113 , pp. 181-197
    • Cuntz, J.1
  • 16
    • 33846702118 scopus 로고
    • A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
    • J. CUNTZ, A class of C*-algebras and topological Markov chains II : Reducible chains and the Ext-functor for C*-algebras, Invent. Math. 63 (1981), 25-40.
    • (1981) Invent. Math. , vol.63 , pp. 25-40
    • Cuntz, J.1
  • 17
    • 0001175308 scopus 로고
    • A class of C*-algebras and topological Markov chains
    • C. CUNTZ, W. KRIEGER, A class of C*-algebras and topological Markov chains, Invent. Math. 56 (1980), 251-268.
    • (1980) Invent. Math. , vol.56 , pp. 251-268
    • Cuntz, C.1    Krieger, W.2
  • 19
    • 0000268612 scopus 로고
    • Dimension groups and their affine representations
    • E. EFFROS, D. HANDELMAN, C. L. SHEN, Dimension groups and their affine representations, Amer. J. Math. 102 (1980), 385-407.
    • (1980) Amer. J. Math. , vol.102 , pp. 385-407
    • Effros, E.1    Handelman, D.2    Shen, C.L.3
  • 20
    • 0003092457 scopus 로고
    • On the classification of inductive limits of sequences of semi-simple finite dimensional algebras
    • G.A. ELLIOTT, On the classification of inductive limits of sequences of semi-simple finite dimensional algebras, J. Algebra. 38 (1976), 29-44.
    • (1976) J. Algebra , vol.38 , pp. 29-44
    • Elliott, G.A.1
  • 21
    • 84941833127 scopus 로고
    • On the classification of C*-algebras of real rank zero
    • G.A. ELLIOTT, On the classification of C*-algebras of real rank zero, J. Reine Angew. Math. 443 (1993), 179-219.
    • (1993) J. Reine Angew. Math. , vol.443 , pp. 179-219
    • Elliott, G.A.1
  • 22
    • 0011312944 scopus 로고
    • Are amenable C*-algebras classifiable?
    • Representation theory of groups and algebras
    • G.A. ELLIOTT, Are amenable C*-algebras classifiable?, in Representation theory of groups and algebras, Contemporary Mathematics 145 (1993), 423-426.
    • (1993) Contemporary Mathematics , vol.145 , pp. 423-426
    • Elliott, G.A.1
  • 23
    • 0002515582 scopus 로고
    • The classification problem for amenable C*-algebras
    • Zurich
    • G.A. ELLIOTT, The classification problem for amenable C*-algebras, Proc. I.C.M., Zurich (1994).
    • (1994) Proc. I.C.M.
    • Elliott, G.A.1
  • 24
    • 33748553932 scopus 로고
    • K-théorie bivariante de Kasparov
    • Séminaire Bourbaki
    • T. FACK, K-théorie bivariante de Kasparov, Séminaire Bourbaki, Astérisque 105-106 (1983), 149-166.
    • (1983) Astérisque , vol.105-106 , pp. 149-166
    • Fack, T.1
  • 26
    • 0001754612 scopus 로고
    • Hilbert C*-modules: Theorems of Stinespring and Voiculescu
    • G.G. KASPAROV, Hilbert C*-modules: theorems of Stinespring and Voiculescu, J. Operator Theory 4 (1980), 133-150.
    • (1980) J. Operator Theory , vol.4 , pp. 133-150
    • Kasparov, G.G.1
  • 27
    • 0001241676 scopus 로고
    • The operator K-functor and extensions of C*-algebras
    • G.G. KASPAROV, The operator K-functor and extensions of C*-algebras , Math. U.S.S.R. Izv. 16 (1981), 513-572.
    • (1981) Math. U.S.S.R. Izv. , vol.16 , pp. 513-572
    • Kasparov, G.G.1
  • 30
    • 0000294483 scopus 로고
    • On non-semi-split extensions, tensor products and exactness of group C*-algebras
    • E. KIRCHBERG, On non-semi-split extensions, tensor products and exactness of group C*-algebras, Invent. Math. 112 (1993), 449-489.
    • (1993) Invent. Math. , vol.112 , pp. 449-489
    • Kirchberg, E.1
  • 31
    • 0011202872 scopus 로고
    • On subalgebras of the CAR-algebra
    • E. KIRCHBERG, On subalgebras of the CAR-algebra, J. Functional Analysis 129 (1995), 35-63.
    • (1995) J. Functional Analysis , vol.129 , pp. 35-63
    • Kirchberg, E.1
  • 32
    • 0001143506 scopus 로고
    • Exact C*-algebras, tensor products, and classification of purely infinite algebras
    • Zurich
    • E. KIRCHBERG, Exact C*-algebras, tensor products, and classification of purely infinite algebras, Proc. I.C.M., Zurich (1994).
    • (1994) Proc. I.C.M.
    • Kirchberg, E.1
  • 35
    • 0000203767 scopus 로고
    • On nuclear C*-algebras
    • C. LANCE, On nuclear C*-algebras, J. Functional Analysis 12 (1973), 157-176.
    • (1973) J. Functional Analysis , vol.12 , pp. 157-176
    • Lance, C.1
  • 39
    • 84874978715 scopus 로고    scopus 로고
    • Classification of certain infinite simple C*-algebras
    • à paraître
    • M. RØRDAM, Classification of certain infinite simple C*-algebras, J. Functional Analysis, à paraître.
    • J. Functional Analysis
    • Rørdam, M.1
  • 40
    • 84972574152 scopus 로고
    • The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
    • J. ROSENBERG, C. SCHOCKET, The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor, Duke J. Math. 55 (1987), 431-474.
    • (1987) Duke J. Math. , vol.55 , pp. 431-474
    • Rosenberg, J.1    Schocket, C.2
  • 41
    • 84972584389 scopus 로고
    • On the cross norm of the direct product of C*-algebras
    • M. TAKESAKI, On the cross norm of the direct product of C*-algebras, Tôhoku Math J. 16 (1964), 111-122.
    • (1964) Tôhoku Math J. , vol.16 , pp. 111-122
    • Takesaki, M.1
  • 42
    • 51249170895 scopus 로고
    • Une notion de nucléarité en K-théorie (d'après J. Cuntz)
    • G. SKANDALIS, Une notion de nucléarité en K-théorie (d'après J. Cuntz), K-theory 1 (1988), 549-573.
    • (1988) K-theory , vol.1 , pp. 549-573
    • Skandalis, G.1
  • 43
    • 0000010134 scopus 로고
    • Kasparov's bivariant K-theory and applications
    • G. SKANDALIS, Kasparov's bivariant K-theory and applications, Expo. Math. 9 (1991), 193-250.
    • (1991) Expo. Math. , vol.9 , pp. 193-250
    • Skandalis, G.1
  • 44
    • 0000907164 scopus 로고
    • Le bifoncteur de Kasparov n'est pas exact
    • G. SKANDALIS, Le bifoncteur de Kasparov n'est pas exact, C. R. Acad. Sci. Paris 313 (1991), 939-941.
    • (1991) C. R. Acad. Sci. Paris , vol.313 , pp. 939-941
    • Skandalis, G.1
  • 45
    • 0002674796 scopus 로고
    • A non-commutative Weyl-von Neumann theorem
    • D. VOICULESCU, A non-commutative Weyl-von Neumann theorem, Rev. Roum. Math. Pures et Appl. 21 (1976), 97-113.
    • (1976) Rev. Roum. Math. Pures et Appl. , vol.21 , pp. 97-113
    • Voiculescu, D.1
  • 46
    • 34948864613 scopus 로고
    • On tensor products of certain group C*-algebras
    • S. WASSERMANN, On tensor products of certain group C*-algebras, J. Functional Analysis 23 (1976), 239-254.
    • (1976) J. Functional Analysis , vol.23 , pp. 239-254
    • Wassermann, S.1
  • 47
    • 0003329444 scopus 로고
    • Exact C*-algebras and related topics
    • Seoul National University
    • S. WASSERMANN, Exact C*-algebras and related topics, Lecture Notes Series 19, Seoul National University (1994).
    • (1994) Lecture Notes Series , vol.19
    • Wassermann, S.1
  • 48
    • 65749320910 scopus 로고
    • Über beschrankte quadratischen Formen deren Differenz vollstetig ist
    • H. WEYL, Über beschrankte quadratischen Formen deren Differenz vollstetig ist, Rend. Circ. mat. Palermo 27 (1909), 373-392.
    • (1909) Rend. Circ. Mat. Palermo , vol.27 , pp. 373-392
    • Weyl, H.1


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