The tensor product problem for reflexive algebras
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References
- Frank Gilfeather, Alan Hopenwasser, and David R. Larson, Reflexive algebras with finite width lattices: tensor products, cohomology, compact perturbations, J. Funct. Anal. 55 (1984), no.Β 2, 176β199. MR 733915, DOI 10.1016/0022-1236(84)90009-0 2. U. Haagerup, Group C* -algebras without the completely bounded approximation property, preprint.
- Jon Kraus, Tensor products of reflexive algebras, J. London Math. Soc. (2) 28 (1983), no.Β 2, 350β358. MR 713389, DOI 10.1112/jlms/s2-28.2.350
- Alan Hopenwasser, Cecelia Laurie, and Robert Moore, Reflexive algebras with completely distributive subspace lattices, J. Operator Theory 11 (1984), no.Β 1, 91β108. MR 739795
- Jon Kraus, $W^{\ast }$-dynamical systems and reflexive operator algebras, J. Operator Theory 8 (1982), no.Β 1, 181β194. MR 670184
- Jon Kraus, The slice map problem for $\sigma$-weakly closed subspaces of von Neumann algebras, Trans. Amer. Math. Soc. 279 (1983), no.Β 1, 357β376. MR 704620, DOI 10.1090/S0002-9947-1983-0704620-0
- Jon Kraus, Tensor products of reflexive algebras, J. London Math. Soc. (2) 28 (1983), no.Β 2, 350β358. MR 713389, DOI 10.1112/jlms/s2-28.2.350
- Jon Kraus, Abelian operator algebras and tensor products, J. Operator Theory 14 (1985), no.Β 2, 391β407. MR 808298
- Jon Kraus, The slice map problem and approximation properties, J. Funct. Anal. 102 (1991), no.Β 1, 116β155. MR 1138840, DOI 10.1016/0022-1236(91)90138-U 10. J. Lindenstrauss and L. Tzafiri, Classical Banach spacesI, Ergebnisse der Mathematik, no. 92, Springer-Verlag, New York, 1977.
- Vern I. Paulsen, Completely bounded maps and dilations, Pitman Research Notes in Mathematics Series, vol. 146, Longman Scientific & Technical, Harlow; John Wiley & Sons, Inc., New York, 1986. MR 868472
- Andrzej Szankowski, $B({\cal H})$ does not have the approximation property, Acta Math. 147 (1981), no.Β 1-2, 89β108. MR 631090, DOI 10.1007/BF02392870
- Masamichi Takesaki, Theory of operator algebras. I, Springer-Verlag, New York-Heidelberg, 1979. MR 548728, DOI 10.1007/978-1-4612-6188-9 14. J. Tomiyama, Tensor products and projections of norm one in von Neumann algebras, Lecture Notes, University of Copenhagen, 1970.
Additional Information
- Journal: Bull. Amer. Math. Soc. 23 (1990), 455-460
- MSC (1985): Primary 47D25, 46L10
- DOI: https://doi.org/10.1090/S0273-0979-1990-15957-9
- MathSciNet review: 1027903