Factorizations in universal operator spaces and algebras

Rocky Mountain Journal of Mathematics

Volumn 27, Issue 1, 1997, Pages 151-167

  Blecher, David P ^a  

^a University of Houston   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031500113     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181071954     Document Type: Article

References (27)

1. Wm. Arveson, Subalgebras of C*-algebras, Acta Math. 123 (1969), 141-224.
2. B. Blackadar, Shape theory for C*-algebras, Math. Scand. 56 (1985), 249-275.
3. D.P. Blecher, The standard dual of an operator space, Pacific J. Math. 153 (1992), 15-30.
4. D.P. Blecher, Tensor products of operator spaces II, Canad. J. Math. 44 (1992), 75-90.
5. D.P. Blecher, Matrix normed categories and Morda equivalence, in preparation.
6. D.P. Blecher, A completely bounded characterization of operator algebras, Math. Ann. 303 (1995), 227-239.
7. D.P. Blecher, Continuous functions on compact groups, Proc. Amer. Math. Soc., to appear.
8. D. Blecher and V. Paulsen, Tensor products of operator spaces, J. Funct. Anal. 99 (1991), 262-292.
9. D.P. Blecher, Explicit construction of universal operator algebras and an application to polynomial factorization, Proc. Amer. Math. Soc. 112 (1991), 839-850.
10. D. Blecher, Z-j. Ruan and A. Sinclair, A characterization of operator algebras, J. Funct. Anal. 89 (1990), 188-201.
11. L.G. Brown, Ext of certain free product C* -algebras, J. Operator Theory 6 (1981), 135-141.
12. E. Christensen and A. Sinclair, A survey of completely bounded operators, Buli. London Math. Soc. 21 (1989), 417-448.
13. P.O. Dixon, Varieties of Banach algebras, Quart. J. Math. Oxford 27 (1976), 481-487.
14. E. Effros, Advances in quantized functional analysis, Proc. ICM Berkeley, 1986.
15. E. Effros and Z-j. Ruan, A new approach to operator spaces, Buli. Canad. Math. Soc. 34 (1991), 329-337.
16. E. Effros and Z-j. Ruan, Self-duality for the Haagerup tensor product and Hilbert space factoHzation, J. Funct. Anal. 100 (1991), 257-284.
17. E. Effros and Z-j. Ruan, On the abstract characterization of operator spaces, Proc. Amer. Math. Soc. 119 (1993), 579-584.
18. E. Effros and Z-j. Ruan, Operator convolution alqebras, An approach to quanturn qroups, (1991) preprint.
19. V. Paulsen, Completely bounded maps and dilations, Pitman Research Notes Math., Longman, London, 1986.
20. V. Paulsen, The maximal operator space of a normed space, Proc. Edinburgh Math. Soc. 39 (1996), 309-313.
21. V. Paulsen and S.C. Power, Tensor products of non-self-adjoint operator algebras, Rocky Mountain J. Math. 20 (1990), 331-350.
22. S.C. Power, Operator algebras and inverse limits of simplicial complexes, J. Reine Angew. Math. 421 (1991), 43-61.
23. Z-j. Ruan, Subspaces of C* -algebras, J. Funct. Anal. 76 (1988), 217-230.
24. Z-j. Ruan, Injectivity of operator spaces, Trans. Amer. Math. Soc. 315 (1989), 89-104.
25. S. Wang, General construction of compact quanturn qroups, Ph.D. Thesis, Berkeley, 1993.
26. S. Wang, Free products of compact quanturn groups, Comm. Math. Phys., to appear.
27. S.L. Woronowicz, Compact quanturn groups (1993), preprint.