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Volumn 167, Issue 2, 1999, Pages 243-344

Pullback and Pushout Constructions in C*-Algebra Theory

Author keywords

Amalgamated free product; C* algebra; Crossed product; Direct limit; Extension; Inverse limit; Noncommutative CW complex; Pullback diagram; Pushout diagram; Restricted direct sum; Tensor product

Indexed keywords


EID: 0010140290     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1999.3456     Document Type: Article
Times cited : (120)

References (50)
  • 1
    • 0009152665 scopus 로고
    • Weak expectations and nuclear C*-algebras
    • Blackadar Bruce. Weak expectations and nuclear C*-algebras. Indiana Univ. Math. J. 27:1978;1021-1026.
    • (1978) Indiana Univ. Math. J. , vol.27 , pp. 1021-1026
    • Blackadar, B.1
  • 2
    • 0000916207 scopus 로고
    • Shape theory for C*-algebras
    • Blackadar Bruce. Shape theory for C*-algebras. Math. Scand. 58:1985;249-275.
    • (1985) Math. Scand. , vol.58 , pp. 249-275
    • Blackadar, B.1
  • 4
    • 0002078523 scopus 로고
    • Tensor products of C(X)-algebras over C(X)
    • Blanchard Étienne. Tensor products of C(X)-algebras over C(X). Astérisque. 232:1995;81-92.
    • (1995) Astérisque , vol.232 , pp. 81-92
    • Blanchard, É.1
  • 5
    • 0000859258 scopus 로고    scopus 로고
    • Déformations de C*-algèbres de Hopf
    • Blanchard Étienne. 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, É.1
  • 6
    • 84972535827 scopus 로고
    • Stable isomorphism of hereditary subalgebras of C*-algebras
    • Brown Lawrence G. Stable isomorphism of hereditary subalgebras of C*-algebras. Pacific J. Math. 71:1977;335-348.
    • (1977) Pacific J. Math. , vol.71 , pp. 335-348
    • Brown, L.G.1
  • 7
    • 0010941321 scopus 로고
    • Ext of certain free product C*-algebras
    • Brown Lawrence G. Ext of certain free product C*-algebras. J. Operator Theory. 6:1981;135-141.
    • (1981) J. Operator Theory , vol.6 , pp. 135-141
    • Brown, L.G.1
  • 8
    • 0001109595 scopus 로고
    • Extensions of C*-algebras and K-homology
    • Brown Lawrence G., Douglas Ronald G., Fillmore Peter A. Extensions of C*-algebras and K-homology. Ann. of Math. 105:1977;265-348.
    • (1977) Ann. of Math. , vol.105 , pp. 265-348
    • Brown, L.G.1    Douglas, R.G.2    Fillmore, P.A.3
  • 9
    • 84972500521 scopus 로고
    • Stable isomorphism and strong Morita equivalence of C*-algebras
    • Brown Lawrence G., Green Philip, Rieffel Marc A. 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
  • 10
    • 0000398820 scopus 로고
    • C*-algebras of real rank zero
    • Brown Lawrence G., Pedersen Gert K. C*-algebras of real rank zero. J. Funct. Anal. 99:1991;131-149.
    • (1991) J. Funct. Anal. , vol.99 , pp. 131-149
    • Brown, L.G.1    Pedersen, G.K.2
  • 11
    • 0011311745 scopus 로고
    • On the geometry of the unit ball of a C*-algebra
    • Brown Lawrence G., Pedersen Gert K. On the geometry of the unit ball of a C*-algebra. J. Reine Angew. Math. 469:1995;113-147.
    • (1995) J. Reine Angew. Math. , vol.469 , pp. 113-147
    • Brown, L.G.1    Pedersen, G.K.2
  • 13
    • 84968466786 scopus 로고
    • Double centralizers and extensions of C*-algebras
    • Busby Robert C. Double centralizers and extensions of C*-algebras. Trans. Am. Math. Soc. 132:1968;79-99.
    • (1968) Trans. Am. Math. Soc. , vol.132 , pp. 79-99
    • Busby, R.C.1
  • 14
    • 0002595616 scopus 로고
    • The K-groups for free products of C*-algebras
    • Cuntz Joachim. The K-groups for free products of C*-algebras. Proc. Symp. Pure Math. 38:1982;81-84.
    • (1982) Proc. Symp. Pure Math. , vol.38 , pp. 81-84
    • Cuntz, J.1
  • 15
    • 0346995169 scopus 로고
    • Classification des algèbres purement infinies nucléaires
    • Delaroche Claire A. Classification des algèbres purement infinies nucléaires. Sém. Bourbaki. 805:1995-1996.
    • (1995) Sém. Bourbaki , vol.805
    • Delaroche, C.A.1
  • 20
    • 0006845658 scopus 로고    scopus 로고
    • Morphisms of extensions of C*-algebras: Pushing forward the Busby invariant
    • to appear
    • Søren, Eilers, Terry, A. Loring, and, Gert, K. Pedersen, Morphisms of extensions of C*-algebras: Pushing forward the Busby invariant, Adv. Math, to appear.
    • Adv. Math
    • Eilers, S.1    Loring, T.A.2    Pedersen, G.K.3
  • 21
    • 0032397666 scopus 로고    scopus 로고
    • Stability of anticommutation relations: An application of noncommutative CW complexes
    • Eilers Søren, Loring Terry A., Pedersen Gert K. Stability of anticommutation relations: An application of noncommutative CW complexes. J. Reine Angew. Math. 499:1998;101-143.
    • (1998) J. Reine Angew. Math. , vol.499 , pp. 101-143
    • Eilers, Sø.1    Loring, T.A.2    Pedersen, G.K.3
  • 22
    • 0002058709 scopus 로고    scopus 로고
    • Fragility for subhomogeneous C*-algebras with one-dimensional spectrum
    • Eilers Søren, Loring Terry A., Pedersen Gert K. Fragility for subhomogeneous C*-algebras with one-dimensional spectrum. Bull. London Math. Soc. 31:1999;337-344.
    • (1999) Bull. London Math. Soc. , vol.31 , pp. 337-344
    • Eilers, Sø.1    Loring, T.A.2    Pedersen, G.K.3
  • 23
    • 0041179300 scopus 로고    scopus 로고
    • Quasidiagonal extensions of AF algebras
    • Eilers Søren, Loring Terry A., Pedersen Gert K. Quasidiagonal extensions of AF algebras. Math. Ann. 311:1998;233-249.
    • (1998) Math. Ann. , vol.311 , pp. 233-249
    • Eilers, Sø.1    Loring, T.A.2    Pedersen, G.K.3
  • 24
    • 0003361277 scopus 로고
    • A Course in Homological Algebra
    • New York/Heidelberg/Berlin: Springer-Verlag
    • Hilton Peter J., Stammbach Urs. A Course in Homological Algebra. Graduate Texts in Mathematics. 4:1971;Springer-Verlag, New York/Heidelberg/Berlin.
    • (1971) Graduate Texts in Mathematics , vol.4
    • Hilton, P.J.1    Stammbach, U.2
  • 26
    • 4544298532 scopus 로고    scopus 로고
    • Fundamentals of the Theory of Operator Algebras, I-II
    • Providence: Amer. Math. Soc.
    • Kadison Richard V., Ringrose John R. Fundamentals of the Theory of Operator Algebras, I-II. Graduate Studies in Mathematics. 15-16:1997;Amer. Math. Soc. Providence.
    • (1997) Graduate Studies in Mathematics , vol.1516
    • Kadison, R.V.1    Ringrose, J.R.2
  • 27
    • 0011964720 scopus 로고
    • The Fubini theorem for exact C*-algebras
    • Kirchberg Eberhard. The Fubini theorem for exact C*-algebras. J. Operator Theory. 10:1983;3-8.
    • (1983) J. Operator Theory , vol.10 , pp. 3-8
    • Kirchberg, E.1
  • 28
    • 0000294483 scopus 로고
    • On non-semisplit extensions, tensor products and exactness of group C*-algebras
    • Kirchberg Eberhard. On non-semisplit 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
  • 29
    • 0011202872 scopus 로고
    • On subalgebras of the CAR algebra
    • Kirchberg Eberhard. On subalgebras of the CAR algebra. J. Funct. Anal. 129:1995;35-63.
    • (1995) J. Funct. Anal. , vol.129 , pp. 35-63
    • Kirchberg, E.1
  • 30
    • 21844506577 scopus 로고
    • Operations on continuous bundles of C*-algebras
    • Kirchberg Eberhard, Wassermann Simon. Operations on continuous bundles of C*-algebras. Math. Ann. 303:1995;677-697.
    • (1995) Math. Ann. , vol.303 , pp. 677-697
    • Kirchberg, E.1    Wassermann, S.2
  • 33
    • 0003198179 scopus 로고    scopus 로고
    • Lifting Solutions to Perturbing Problems in C*-Algebras
    • Providence: Amer. Math. Soc.
    • Loring Terry A. Lifting Solutions to Perturbing Problems in C*-Algebras. Fields Institute Monographs. 8:1997;Amer. Math. Soc. Providence.
    • (1997) Fields Institute Monographs , vol.8
    • Loring, T.A.1
  • 34
    • 22444454503 scopus 로고    scopus 로고
    • Projectivity, transitivity and AF telescopes
    • Loring Terry A., Pedersen Gert K. Projectivity, transitivity and AF telescopes. Trans. Amer. Math. Soc. 350:1998;4313-4339.
    • (1998) Trans. Amer. Math. Soc. , vol.350 , pp. 4313-4339
    • Loring, T.A.1    Pedersen, G.K.2
  • 35
    • 0040536152 scopus 로고    scopus 로고
    • Corona extendibility and asymptotic multiplicativity
    • Loring Terry A., Pedersen Gert K. Corona extendibility and asymptotic multiplicativity. K-Theory. 11:1997;83-102.
    • (1997) K-Theory , vol.11 , pp. 83-102
    • Loring, T.A.1    Pedersen, G.K.2
  • 38
    • 0003216501 scopus 로고
    • C*-Algebras and their Automorphism Groups
    • London: Academic Press
    • Pedersen Gert K. C*-Algebras and their Automorphism Groups. LMS Monographs. 14:1979;Academic Press, London.
    • (1979) LMS Monographs , vol.14
    • Pedersen, G.K.1
  • 39
    • 0347625919 scopus 로고    scopus 로고
    • Extensions of C*-algebras
    • S. Doplicher. Cambridge: International Press
    • Pedersen Gert K. Extensions of C*-algebras. Doplicher S. Operator Algebras and Quantum Field Theory. 1997;2-35 International Press, Cambridge.
    • (1997) Operator Algebras and Quantum Field Theory , pp. 2-35
    • Pedersen, G.K.1
  • 40
    • 0000160707 scopus 로고    scopus 로고
    • Factorization in C*-algebras
    • Pedersen Gert K. Factorization in C*-algebras. Expos. Math. 16:1998;145-156.
    • (1998) Expos. Math. , vol.16 , pp. 145-156
    • Pedersen, G.K.1
  • 41
    • 0002311542 scopus 로고
    • Equivariant K-Theory and Freeness of Group Actions on C*-Algebras
    • Berlin: Springer-Verlag
    • Phillips N. Christopher. Equivariant K-Theory and Freeness of Group Actions on C*-Algebras. Lecture Notes in Mathematics. 1274:1987;Springer-Verlag, Berlin.
    • (1987) Lecture Notes in Mathematics , vol.1274
    • Phillips, N.C.1
  • 42
    • 0006456038 scopus 로고
    • Induced representations of C*-algebras
    • Rieffel Marc A. Induced representations of C*-algebras. Adv. Math. 13:1974;176-257.
    • (1974) Adv. Math. , vol.13 , pp. 176-257
    • Rieffel, M.A.1
  • 43
    • 0002200267 scopus 로고
    • Morita equivalence for C*-algebras and W*-algebras
    • Rieffel Marc A. Morita equivalence for C*-algebras and W*-algebras. J. Pure Appl. Algebra. 5:1974;57-96.
    • (1974) J. Pure Appl. Algebra , vol.5 , pp. 57-96
    • Rieffel, M.A.1
  • 44
    • 0001445567 scopus 로고
    • Morita equivalence for operator algebras
    • Rieffel Marc A. Morita equivalence for operator algebras. Proc. Symp. Pure Math. 38:1982;285-298.
    • (1982) Proc. Symp. Pure Math. , vol.38 , pp. 285-298
    • Rieffel, M.A.1
  • 45
    • 84972569227 scopus 로고
    • Topological methods for C*-algebras III: Axiomatic homology
    • Schochet Claude. Topological methods for C*-algebras III: axiomatic homology. Pacific J. Math. 114:1984;399-445.
    • (1984) Pacific J. Math. , vol.114 , pp. 399-445
    • Schochet, C.1
  • 46
    • 0000650943 scopus 로고
    • A cancellation theorem for modules over the group C*-algebras of certain nilpotent Lie groups
    • Sheu Albert J.-L. A cancellation theorem for modules over the group C*-algebras of certain nilpotent Lie groups. Can. J. Math. 39:1987;365-427.
    • (1987) Can. J. Math. , vol.39 , pp. 365-427
    • Sheu, A.J.-L.1
  • 48
    • 34948864613 scopus 로고
    • On tensor products of certain group C*-algebras
    • Wassermann Simon. On tensor products of certain group C*-algebras. J. Funct. Anal. 23:1976;239-254.
    • (1976) J. Funct. Anal. , vol.23 , pp. 239-254
    • Wassermann, S.1
  • 49
    • 0003329444 scopus 로고
    • Exact C*-Algebras and Related Topics
    • Seoul National UniversityInstitute of Mathematics, Global Analysis Center
    • Wassermann Simon. Exact C*-Algebras and Related Topics. Lecture Notes Series. 19:1994;Seoul National UniversityInstitute of Mathematics, Global Analysis Center.
    • (1994) Lecture Notes Series , vol.19
    • Wassermann, S.1


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