$C^{\ast}$-algebras with approximately inner flip.



Pacific Journal of Mathematics

$C^{\ast}$-algebras with approximately inner flip.

Edward G. Effros and Jonathan Rosenberg

Source: Pacific J. Math. Volume 77, Number 2 (1978), 417-443.

Primary Subjects: 46L05

Full-text: Access granted (open access)

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102806458
Zentralblatt MATH identifier: 0412.46052
Mathematical Reviews number (MathSciNet): MR510932

References

[1] C. Akemann, G. Pedersen, and J. Tomiyama, Derivationsand multipliersof C*- algebras, J. Functional Analysis, 13 (1973), 277-301.
Mathematical Reviews (MathSciNet): MR57:10431
Zentralblatt MATH: 0258.46052
[2] W. Arveson, Notes on extensions of C*-algebras, Duke Math. J., 44(1977), 329-355. 3.0. Bratteli, Inductive limits of finite-dimensional C*-algebras, Trans. Amer. Math. Soc, 171 (1972), 195-234.
Mathematical Reviews (MathSciNet): MR55:11056
Zentralblatt MATH: 0368.46052
[4] W. Arveson,The center of approximatelyfinite-dimensionalC*-algebras, J. Functional Analysis, 21 (1976), 195-202.
Mathematical Reviews (MathSciNet): MR53:1277
Zentralblatt MATH: 0315.46051
[5] J. Bunce and J. Deddens, A familyof simple C*-algebras related to weighted shift operators, J. Functional Analysis, 19 (1975), 13-24.
Mathematical Reviews (MathSciNet): MR51:1410
Zentralblatt MATH: 0313.46047
[6] M. Choi and E. Effros, The completely positive liftingproblem for C*-algebras, Ann. of Math., 104 (1976), 585-609.
Mathematical Reviews (MathSciNet): MR54:5843
Zentralblatt MATH: 0361.46067
[7] M. Choi and E. Effros, Nuclear C*-algebrasand the approximationproperty, Amer. J. Math., 100 (1978), 61-79.
Mathematical Reviews (MathSciNet): MR58:2317
Zentralblatt MATH: 0397.46054
[8] A. Connes, Classification of injective factors, Ann. of Math., 104 (1976), 73-116.
Mathematical Reviews (MathSciNet): MR56:12908
Zentralblatt MATH: 0343.46042
[9] J. Dixmier, Les C*-algebreset leurs Representations, 2 ed., Gauthier-Villars, Paris, 1969.
Mathematical Reviews (MathSciNet): MR39:7442
Zentralblatt MATH: 0174.18601
[10] J. Dixmier, On some C*-algebras considered by Glimm, J. Functional Analysis, 1 (1967), 182-203.
Mathematical Reviews (MathSciNet): MR35:4740
Zentralblatt MATH: 0152.33003
[11] E. Effros, Nuclearityand the C*-algebraic flip, Proc. Conf. on Mathematical Problems in Theoretical Physics, Rome, June 1977, Lecture Notes in Physics, no. 80, Spinger, Berlin, 1978.
Mathematical Reviews (MathSciNet): MR80h:46088
[12] S. Eilenberg and N. Steenrod, Foundationsof Algebraic Topology, Princeton Uni- versity Press, Princeton, 1952.
Mathematical Reviews (MathSciNet): MR14:398b
Zentralblatt MATH: 0047.41402
[13] G. Elliott, On the classification of inductive limits of sequences of finite dimen- sional algebras, J. Algebra, 38 (1976), 29-44.
Mathematical Reviews (MathSciNet): MR53:1279
Zentralblatt MATH: 0323.46063
[14] J. Glimm, On a certain class of operator algebras, Trans. Amer. Math. Soc, 76 (1960), 318-340.
Mathematical Reviews (MathSciNet): MR22:2915
Zentralblatt MATH: 0094.09701
[15] A. Guichardet, Tensor Products of C*-algebras, Part I, Aarhus University Lecture Notes Series No. 12, Aarhus, 1969.
Zentralblatt MATH: 0228.46056
[16] P. Halmos, Ten problems in Hilbert space, Bull. Amer. Math. Soc, 76 (1970), 887-933.
Mathematical Reviews (MathSciNet): MR42:5066
Zentralblatt MATH: 0213.39502
[17] I. Kaplansky, Rings of Operators, W. A. Benjamin, New York, 1968.
Mathematical Reviews (MathSciNet): MR39:6092
Zentralblatt MATH: 0174.18503
[18] D. McDuff, Central sequences and the hyper finite factor, Proc. London Math. Soc, 21 (1970), 443-461.
Mathematical Reviews (MathSciNet): MR43:6737
Zentralblatt MATH: 0204.14902
[19] G. Pedersen, Measure theory for C*-algebras I, Math. Scand., 19 (1966), 131-145.
Mathematical Reviews (MathSciNet): MR35:3453
[20] F. Thayer, The Weyl-von Neumann theorem for approximately finite C*-algebras, Ind. Univ. Math. J., 24 (1975), 875-877.
Mathematical Reviews (MathSciNet): MR56:6407
[21] F. Thayer, Quasi-diagonal C*-algebras,J. Functional Analysis, 25 (1977), 50-57.
Mathematical Reviews (MathSciNet): MR56:6408
Zentralblatt MATH: 0352.46037
[22] J. Tomiyama, Applications of Fubini type theorem to the tensor products of C*- algebras, Thoku Math. J., 19 (1967), 213-226.
Mathematical Reviews (MathSciNet): MR36:1990
Zentralblatt MATH: 0166.11401
[23] D. Voiculescu, A non-commutativeWeyl-von Neumann theorem, Rev. Roum. Math. Pures et Appl., 21 (1976), 97-113.
Mathematical Reviews (MathSciNet): MR54:3427
Zentralblatt MATH: 0335.46039

2008 © Pacific Journal of Mathematics