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Volumn 15, Issue 5, 2004, Pages 501-530

About the QWEP conjecture

Author keywords

Connes' embedding problem; QWEP conjecture

Indexed keywords


EID: 7244231166     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X04002417     Document Type: Review
Times cited : (115)

References (60)
  • 1
    • 34250491179 scopus 로고
    • Subalgebras of C*-algebras
    • W. B. Arveson, Subalgebras of C*-algebras, Acta Math. 123 (1969) 141-224.
    • (1969) Acta Math. , vol.123 , pp. 141-224
    • Arveson, W.B.1
  • 2
    • 84972560216 scopus 로고
    • Notes on extensions of C*-algebras
    • W. Arveson, Notes on extensions of C*-algebras, Duke Math. J. 44(2) (1977) 329-355.
    • (1977) Duke Math. J. , vol.44 , Issue.2 , pp. 329-355
    • Arveson, W.1
  • 3
    • 0033476287 scopus 로고    scopus 로고
    • On the full C*-algebras of arithmetic groups and the congruence subgroup problem
    • M. B. Bekka, On the full C*-algebras of arithmetic groups and the congruence subgroup problem, Forum Math. 11(6) (1999) 705-715.
    • (1999) Forum Math. , vol.11 , Issue.6 , pp. 705-715
    • Bekka, M.B.1
  • 4
    • 84974003839 scopus 로고
    • The standard dual of an operator space
    • D. P. Blecher, The standard dual of an operator space, Pacific J. Math. 153(1) (1992) 15-30.
    • (1992) Pacific J. Math. , vol.153 , Issue.1 , pp. 15-30
    • Blecher, D.P.1
  • 5
    • 0000489653 scopus 로고
    • Tensor products of operator spaces
    • D. P. Blecher and V. I. Paulsen, Tensor products of operator spaces, J. Funct. Anal. 99(2) (1991) 262-292.
    • (1991) J. Funct. Anal. , vol.99 , Issue.2 , pp. 262-292
    • Blecher, D.P.1    Paulsen, V.I.2
  • 6
    • 0040431857 scopus 로고
    • Free products of completely positive maps and spectral sets
    • F. Boca, Free products of completely positive maps and spectral sets, J. Funct. Anal. 97(2) (1991) 251-263.
    • (1991) J. Funct. Anal. , vol.97 , Issue.2 , pp. 251-263
    • Boca, F.1
  • 10
    • 84972517904 scopus 로고
    • A Schwarz inequality for positive linear maps on C*-algebras
    • M.-D. Choi, A Schwarz inequality for positive linear maps on C*-algebras, Illinois J. Math. 18 (1974) 565-574.
    • (1974) Illinois J. Math. , vol.18 , pp. 565-574
    • Choi, M.-D.1
  • 11
    • 84972517861 scopus 로고
    • The full C*-algebra of the free group on two generators
    • M.-D. Choi, The full C*-algebra of the free group on two generators, Pacific J. Math. 87(1) (1980) 41-48.
    • (1980) Pacific J. Math. , vol.87 , Issue.1 , pp. 41-48
    • Choi, M.-D.1
  • 12
    • 0002179942 scopus 로고
    • The completely positive lifting problem for C*-algebras
    • M.-D. Choi and E. G. Effros, The completely positive lifting problem for C*-algebras, Ann. Math. (2) 104(3) (1976), 585-609.
    • (1976) Ann. Math. (2) , vol.104 , Issue.3 , pp. 585-609
    • Choi, M.-D.1    Effros, E.G.2
  • 13
    • 0002179940 scopus 로고
    • λ, λ ≠ 1
    • λ, λ ≠ 1, Ann. Math. (2) 104(1) (1976) 73-115.
    • (1976) Ann. Math. (2) , vol.104 , Issue.1 , pp. 73-115
    • Connes, A.1
  • 14
    • 84972560864 scopus 로고
    • Lifting problems and local reflexivity for C*-algebras
    • E. G. Effros and U. Haagerup, Lifting problems and local reflexivity for C*-algebras, Duke Math. J. 52(1) (1985) 103-128.
    • (1985) Duke Math. J. , vol.52 , Issue.1 , pp. 103-128
    • Effros, E.G.1    Haagerup, U.2
  • 16
    • 0001126252 scopus 로고
    • A new approach to operator spaces
    • E. G. Effros and Z.-J. Ruan, A new approach to operator spaces, Can. Math. Bull. 34(3) (1991) 329-337.
    • (1991) Can. Math. Bull. , vol.34 , Issue.3 , pp. 329-337
    • Effros, E.G.1    Ruan, Z.-J.2
  • 18
    • 0003287329 scopus 로고
    • Invariant Means on Topological Groups and Their Applications
    • F. P. Greenleaf, Invariant Means on Topological Groups and Their Applications, Van Nostrand Mathematical Studies, No. 16 (1969).
    • (1969) Van Nostrand Mathematical Studies , vol.16
    • Greenleaf, F.P.1
  • 19
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • Mathematical Sciences Research Institute Publications, Springer, New York
    • M. Gromov, Hyperbolic groups, in Essays in Group Theory, Mathematical Sciences Research Institute Publications, Vol. 8 (Springer, New York, 1987), pp. 75-263.
    • (1987) Essays in Group Theory , vol.8 , pp. 75-263
    • Gromov, M.1
  • 21
    • 0001610949 scopus 로고
    • An example of a nonnuclear C*-algebra, which has the metric approximation property
    • U. Haagerup, An example of a nonnuclear C*-algebra, which has the metric approximation property, Invent. Math. 50(3) (1978/1979) 279-293.
    • (1978) Invent. Math. , vol.50 , Issue.3 , pp. 279-293
    • Haagerup, U.1
  • 22
    • 0006812067 scopus 로고
    • A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space
    • U. Haagerup, A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space, J. Funct. Anal. 62(2) (1985) 160-201.
    • (1985) J. Funct. Anal. , vol.62 , Issue.2 , pp. 160-201
    • Haagerup, U.1
  • 26
    • 0002099669 scopus 로고    scopus 로고
    • The Effros-Maréchal topology in the space of von Neumann algebras
    • U. Haagerup and C. Winsløw, The Effros-Maréchal topology in the space of von Neumann algebras, Amer. J. Math. 120(3) (1998) 567-617.
    • (1998) Amer. J. Math. , vol.120 , Issue.3 , pp. 567-617
    • Haagerup, U.1    Winsløw, C.2
  • 27
    • 0034628713 scopus 로고    scopus 로고
    • The Effros-Maréchal topology in the space of von Neumann algebras, II
    • U. Haagerup and C. Winsløw, The Effros-Maréchal topology in the space of von Neumann algebras, II, J. Funct. Anal. 171(2) (2000) 401-431.
    • (2000) J. Funct. Anal. , vol.171 , Issue.2 , pp. 401-431
    • Haagerup, U.1    Winsløw, C.2
  • 29
    • 0003229265 scopus 로고
    • La propriété (T) de Kazhdan pour les groupes localement compacts
    • with an Appendix by M. Burger
    • P. de la Harpe and A. Valette, La propriété (T) de Kazhdan pour les groupes localement compacts, with an Appendix by M. Burger, Astérisque 175 (1989).
    • (1989) Astérisque , vol.175
    • De La Harpe, P.1    Valette, A.2
  • 31
    • 0001340099 scopus 로고
    • Bilinear forms on exact operator spaces and B(H) ⊗ B(H)
    • M. Junge and G. Pisier, Bilinear forms on exact operator spaces and B(H) ⊗ B(H), Geom. Funct. Anal. 5(2) (1995) 329-363.
    • (1995) Geom. Funct. Anal. , vol.5 , Issue.2 , pp. 329-363
    • Junge, M.1    Pisier, G.2
  • 33
    • 0000436832 scopus 로고
    • A generalized Schwarz inequality and algebraic invariants for operator algebras
    • R. V. Kadison, A generalized Schwarz inequality and algebraic invariants for operator algebras, Ann. Math. (2) 56 (1952) 494-503.
    • (1952) Ann. Math. (2) , vol.56 , pp. 494-503
    • Kadison, R.V.1
  • 34
    • 0000294483 scopus 로고
    • On nonsemisplit extensions, tensor products and exactness of group C*-algebras
    • E. Kirchberg, On nonsemisplit extensions, tensor products and exactness of group C*-algebras, Invent. Math. 112(3) (1993) 449-489.
    • (1993) Invent. Math. , vol.112 , Issue.3 , pp. 449-489
    • Kirchberg, E.1
  • 35
    • 0002240453 scopus 로고
    • Commutants of unitaries in UHF algebras and functorial properties of exactness
    • E. Kirchberg, Commutants of unitaries in UHF algebras and functorial properties of exactness, J. Reine Angew. Math. 452 (1994) 39-77.
    • (1994) J. Reine Angew. Math. , vol.452 , pp. 39-77
    • Kirchberg, E.1
  • 36
    • 0038518782 scopus 로고
    • Discrete groups with Kazhdan's property T and factorization property are residually finite
    • E. Kirchberg, Discrete groups with Kazhdan's property T and factorization property are residually finite, Math. Ann. 299(3) (1994) 551-563.
    • (1994) Math. Ann. , vol.299 , Issue.3 , pp. 551-563
    • Kirchberg, E.1
  • 37
    • 0001143506 scopus 로고
    • Exact C*-algebras, tensor products, and the classification of purely infinite algebras
    • Zürich, Birkhäuser, Basel
    • E. Kirchberg, Exact C*-algebras, tensor products, and the classification of purely infinite algebras, in Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), pp. 943-954 (Birkhäuser, Basel, 1995).
    • (1994) Proceedings of the International Congress of Mathematicians , vol.1-2 , pp. 943-954
    • Kirchberg, E.1
  • 38
    • 0000203767 scopus 로고
    • On nuclear C*-algebras
    • C. Lance, On nuclear C*-algebras, J. Funct. Anal. 12 (1973) 157-176.
    • (1973) J. Funct. Anal. , vol.12 , pp. 157-176
    • Lance, C.1
  • 39
    • 0003218461 scopus 로고
    • Hilbert C*-modules
    • A Toolkit for Operator Algebraists, Cambridge University Press, Cambridge
    • E. C. Lance, Hilbert C*-modules, in A Toolkit for Operator Algebraists, London Mathematical Society Lecture Note Series, Vol. 210 (Cambridge University Press, Cambridge, 1995).
    • (1995) London Mathematical Society Lecture Note Series , vol.210
    • Lance, E.C.1
  • 40
    • 7244240562 scopus 로고    scopus 로고
    • On the lifting property for universal C*-algebras of operator spaces
    • N. Ozawa, On the lifting property for universal C*-algebras of operator spaces, J. Oper. Theory 46(3) (2001) 579-591.
    • (2001) J. Oper. Theory , vol.46 , Issue.3 , pp. 579-591
    • Ozawa, N.1
  • 44
    • 33746365605 scopus 로고    scopus 로고
    • The maximal operator space of a normed space
    • V. I. Paulsen, The maximal operator space of a normed space, Proc. Edinburgh Math. Soc. (2) 39(2) (1996) 309-323.
    • (1996) Proc. Edinburgh Math. Soc. (2) , vol.39 , Issue.2 , pp. 309-323
    • Paulsen, V.I.1
  • 45
    • 0000136807 scopus 로고    scopus 로고
    • A simple proof of a theorem of Kirchberg and related results on C*-norms
    • G. Pisier, A simple proof of a theorem of Kirchberg and related results on C*-norms, J. Oper. Theory 35(2) (1996) 317-335.
    • (1996) J. Oper. Theory , vol.35 , Issue.2 , pp. 317-335
    • Pisier, G.1
  • 47
    • 33745986748 scopus 로고
    • Free states of the canonical anticommutation relations
    • R. T. Powers and E. Størmer, Free states of the canonical anticommutation relations, Commun. Math. Phys. 16 (1970) 1-33.
    • (1970) Commun. Math. Phys. , vol.16 , pp. 1-33
    • Powers, R.T.1    Størmer, E.2
  • 48
    • 0033244186 scopus 로고    scopus 로고
    • Convex sets associated with von Neumann algebras and Connes' approximate embedding problem
    • F. Rǎdulescu, Convex sets associated with von Neumann algebras and Connes' approximate embedding problem, Math. Res. Lett. 6(2) (1999) 229-236.
    • (1999) Math. Res. Lett. , vol.6 , Issue.2 , pp. 229-236
    • Rǎdulescu, F.1
  • 49
  • 50
    • 0003315035 scopus 로고    scopus 로고
    • C*-Algebras and W*-Algebras
    • reprint of the 1971 edition. Springer-Verlag, Berlin
    • S. Sakai, C*-Algebras and W*-Algebras, reprint of the 1971 edition. Classics in Mathematics (Springer-Verlag, Berlin, 1998).
    • (1998) Classics in Mathematics
    • Sakai, S.1
  • 52
    • 7244254189 scopus 로고    scopus 로고
    • Theory of Operator Algebras. I
    • reprint of the first (1979) edition. Springer-Verlag, Berlin
    • M. Takesaki, Theory of Operator Algebras. I, reprint of the first (1979) edition. Encyclopaedia of Mathematical Sciences, Vol. 124 (Springer-Verlag, Berlin, 2002).
    • (2002) Encyclopaedia of Mathematical Sciences , vol.124
    • Takesaki, M.1
  • 53
    • 7244255758 scopus 로고    scopus 로고
    • Theory of Operator Algebras. II
    • Springer-Verlag, Berlin
    • M. Takesaki, Theory of Operator Algebras. II, Encyclopaedia of Mathematical Sciences, Vol. 125 (Springer-Verlag, Berlin, 2003).
    • (2003) Encyclopaedia of Mathematical Sciences , vol.125
    • Takesaki, M.1
  • 54
    • 7244252853 scopus 로고    scopus 로고
    • Theory of Operator Algebras. III
    • Springer-Verlag, Berlin
    • M. Takesaki, Theory of Operator Algebras. III, Encyclopaedia of Mathematical Sciences, Vol. 127 (Springer-Verlag, Berlin, 2003).
    • (2003) Encyclopaedia of Mathematical Sciences , vol.127
    • Takesaki, M.1
  • 55
    • 0001611809 scopus 로고
    • On the projection of norm one in W*-algebras
    • J. Tomiyama, On the projection of norm one in W*-algebras, Proc. Japan Acad. 33 (1957) 608-612.
    • (1957) Proc. Japan Acad. , vol.33 , pp. 608-612
    • Tomiyama, J.1
  • 56
    • 0000523766 scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory. II
    • D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory. II, Invent. Math. 118(3) (1994) 411-440.
    • (1994) Invent. Math. , vol.118 , Issue.3 , pp. 411-440
    • Voiculescu, D.1
  • 57
    • 0032380955 scopus 로고    scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory, V. Noncommutative Hilbert transforms
    • D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory, V. Noncommutative Hilbert transforms, Invent. Math. 132(1) (1998) 189-227.
    • (1998) Invent. Math. , vol.132 , Issue.1 , pp. 189-227
    • Voiculescu, D.1
  • 59
    • 0003329444 scopus 로고
    • Exact C*-Algebras and Related Topics
    • Seoul National University, Research Institute of Mathematics, Global Analysis Research Center, Seoul
    • S. Wassermann, Exact C*-Algebras and Related Topics, Lecture Notes Series, Vol. 19, Seoul National University, Research Institute of Mathematics, Global Analysis Research Center, Seoul, 1994.
    • (1994) Lecture Notes Series , vol.19
    • Wassermann, S.1
  • 60
    • 0003927769 scopus 로고
    • K-theory and C*-algebras
    • Oxford Science Publications (The Clarendon Press, Oxford University Press, New York)
    • N. E. Wegge-Olsen, K-theory and C*-algebras, in A Friendly Approach, Oxford Science Publications (The Clarendon Press, Oxford University Press, New York, 1993).
    • (1993) A Friendly Approach
    • Wegge-Olsen, N.E.1


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