Double centralizers of Pedersen's ideal of a $C^* $-algebra
Authors:
A. J. Lazar and D. C. Taylor
Journal:
Bull. Amer. Math. Soc. 78 (1972), 992-997
MSC (1970):
Primary 46L05, 46L25; Secondary 46J10
DOI:
https://doi.org/10.1090/S0002-9904-1972-13079-9
Part II:
Bull. Amer. Math. Soc., Volume 79, Number 2 (1973), 361--366
MathSciNet review:
0328610
Full-text PDF
References | Similar Articles | Additional Information
- 1. M. Altman, Factorisation dans les algèbres de Banach, C. R. Acad. Sci. Paris (to appear). MR 105038
- 2. R. C. Busby, Double centralizers and extensions of C*-algebras, Trans. Amer. Math. Soc. 132 (1968), 79-99. MR 37 #770. MR 225175
- 3. R. C. Busby, On structure spaces and extensions of C*-algebras, J. Functional Analysis 1 (1967), 370-377. MR 37 #771. MR 225176
- 4. J. B. Conway, Projections and retractions, Proc. Amer. Math. Soc. 17 (1966), 843-847. MR 33 # 3253. MR 195048
- 5. J. Dauns and K. H. Hofmann, Representation of rings by sections, Mem. Amer. Math. Soc. No. 83 (1968). MR 40 # 752. MR 247487
- 6. J. Dixmier, Les C*-algèbres et leur représentations, Cahiers Scientifiques, fasc. 29, Gauthier-Villars, Paris, 1964. MR 30 # 1404. MR 171173
- 7. J. Dixmier, Ideal center of a C*-algebra, Duke Math. J. 35 (1968), 375-382. MR 37 # 5703. MR 230138
- 8. E. Hewitt, The ranges of certain convolution operators, Math. Scand. 15 (1964), 147-155. MR 32 # 4471. MR 187016
- 9. B. E. Johnson, An introduction to the theory of centralizers, Proc. London Math. Soc. (3) 14 (1964), 299-320. MR 28 # 2450. MR 159233
- 10. B. E. Johnson, Centralizers on certain topological algebras, J. London Math. Soc. 39 (1964), 603-614. MR 29 # 5115. MR 167849
- 11. G. K. Pedersen, Measure theory for C*-algebras, Math. Scand. 19 (1966), 131-145. MR 35 # 3453. MR 212582
- 12. G. K. Pedersen, A decomposition theorem for C*-algebras, Math. Scand. 22 (1968), 266-268. MR 40 # 6277. MR 253062
- 13. R. S. Phillips, On linear transformations, Trans. Amer. Math. Soc. 48 (1940), 516-541. MR 2, 318. MR 4094
- 14. D. C. Taylor, A general Phillips theorem for C*-algebras and some applications, Pacific J. Math. 40 (1972), 477-488. MR 308799
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1972-13079-9