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The classification of extensions of $C^ *$-algebras
Author(s):
Jonathan
Rosenberg;
Claude
Schochet
Journal:
Bull. Amer. Math. Soc.
4
(1981),
105-110.
MSC (1980):
Primary 46L05, 55N20, 18G15
MathSciNet review:
590821
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References |
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Additional information
References:
- 1.
- L. G. rown, Operator algebras and algebraic K-theory, Bull. Amer. Math. Soc. 81 (1975), 1119-1121. MR 383090
- 2.
- L. G. rown, Extensions and the structure of C*-algebras, Istituto Nazionale di Alta Matematica, Sympos. Math. 20 (1976), 539-566. MR 458197
- 3.
- L. G. Brown, R. G. Douglas, and P. A. Fillmore, Extensions of C *-algebras and K-homology, Ann. of Math. (2) 105 (1977), 265-324. MR 458196
- 4.
- R. S. Busby, Double centralizers and extensions of C *-algebras. Trans. Amer. Math. Soc. 132 (1968), 79-99. MR 225175
- 5.
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- 6.
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- 7.
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- D. S. Kahn, J. Kaminker, and C. Schochet, Generalized homology theories on compact metric spaces, Michigan Math. J. 24 (1977), 203-224. MR 474274
- 9.
- G. G. Kasparov, K-functors in the extension theory of C *-algebras, Funkcional. Anal. i Priložen. 13 (1979), no. 4, 73-74. (Russian) MR 554420
- 10.
- J. W. Milnor, On axiomatic homology theory, Pacific J. Math. 12 (1962), 337-341. MR 159327
- 11.
- M. Pimsner, S. Popa, and D. Voiculescu, Homogeneous $C\sp{\ast} $-extensions of {$C(X)øtimes K(H)$}. I, J. Operator Theory 1 (1979), 55-108; II, ibid, (to appear). MR 526291
- 12.
- C. Schochet, Homogeneous extensions of C*-algebras and K-theory. I, Bull. Amer. Math. Soc. (N.S.) 3 (1980), 715-718. MR 571375
- 13.
- C. Schochet, Topological methods for C*-algebras. II: geometric resolutions and the K࿆nneth formula (preprint, 1980). MR 650021
- 14.
- D. Voiculescu, Remarks on the singular extension in the C *-algebra of the Heisenberg group (preprint, 1979). MR 617972
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Additional Information:
DOI:
10.1090/S0273-0979-1981-14873-4
PII:
S 0273-0979(1981)14873-4
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