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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
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.
Mieczysław
Altman, Une nouvelle preuve du théorème de
l’invariance du domaine dans les espaces à voisinages
convexes, C. R. Acad. Sci. Paris 246 (1958),
2094–2095 (French). MR 0105038
(21 #3784)
- 2.
Robert
C. Busby, Double centralizers and extensions of
𝐶*-algebras, Trans. Amer. Math.
Soc. 132 (1968),
79–99. MR
0225175 (37 #770), http://dx.doi.org/10.1090/S0002-9947-1968-0225175-5
- 3.
Robert
C. Busby, On structure spaces and extensions of
𝐶*-algebras, J. Functional Analysis 1 (1967),
370–377. MR 0225176
(37 #771)
- 4.
John
B. Conway, Projections and retractions,
Proc. Amer. Math. Soc. 17 (1966), 843–847. MR 0195048
(33 #3253), http://dx.doi.org/10.1090/S0002-9939-1966-0195048-9
- 5.
John
Dauns and Karl
Heinrich Hofmann, Representation of rings by sections, Memoirs
of the American Mathematical Society, No. 83, American Mathematical
Society, Providence, R.I., 1968. MR 0247487
(40 #752)
- 6.
Jacques
Dixmier, Les 𝐶*-algèbres et leurs
représentations, Cahiers Scientifiques, Fasc. XXIX,
Gauthier-Villars & Cie, Éditeur-Imprimeur, Paris, 1964 (French).
MR
0171173 (30 #1404)
- 7.
J.
Dixmier, Ideal center of a 𝐶*-algebra, Duke Math. J.
35 (1968), 375–382. MR 0230138
(37 #5703)
- 8.
Edwin
Hewitt, The ranges of certain convolution operators, Math.
Scand. 15 (1964), 147–155. MR 0187016
(32 #4471)
- 9.
B.
E. Johnson, An introduction to the theory of centralizers,
Proc. London Math. Soc. (3) 14 (1964), 299–320. MR 0159233
(28 #2450)
- 10.
B.
E. Johnson, Centralisers on certain topological algebras, J.
London Math. Soc. 39 (1964), 603–614. MR 0167849
(29 #5115)
- 11.
Gert
Kjaergȧrd Pedersen, Measure theory for 𝐶*
algebras, Math. Scand. 19 (1966), 131–145. MR 0212582
(35 #3453)
- 12.
Gert
Kjaergȧrd Pedersen, A decomposition theorem for 𝐶*
algebras, Math. Scand. 22 (1969), 266–268
(1969). MR
0253062 (40 #6277)
- 13.
R.
S. Phillips, On linear transformations, Trans. Amer. Math. Soc. 48 (1940), 516–541. MR 0004094
(2,318c), http://dx.doi.org/10.1090/S0002-9947-1940-0004094-3
- 14.
Donald
Curtis Taylor, A general Phillips theorem for
𝐶^{*}-algebras and some applications, Pacific J. Math.
40 (1972), 477–488. MR 0308799
(46 #7913)
- 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:
http://dx.doi.org/10.1090/S0002-9904-1972-13079-9
PII:
S 0002-9904(1972)13079-9
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