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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Extensions of $C^*$-algebras, operators with compact self-commutators, and $K$-homology


Authors: L. G. Brown, R. G. Douglas and P. A. Fillmore
Journal: Bull. Amer. Math. Soc. 79 (1973), 973-978
MSC (1970): Primary 46L05, 47B05, 47B30, 55B05, 55B15, 55B20; Secondary 16A56, 47B20, 47B35, 47A55
MathSciNet review: 0346540
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  • 1. M. F. Atiyah, Global theory of elliptic operators, Proc. Internat. Conf. on Functional Analysis and Related Topics (Tokyo, 1969), Univ. of Tokyo Press, Tokyo, 1970, pp. 21–30. MR 0266247 (42 #1154)
  • 2. L. G. Brown, R. G. Douglas, and P. A. Fillmore, Unitary equivalence modulo the compact operators and extensions of 𝐶*-algebras, Proceedings of a Conference on Operator Theory (Dalhousie Univ., Halifax, N.S., 1973) Springer, Berlin, 1973, pp. 58–128. Lecture Notes in Math., Vol. 345. MR 0380478 (52 #1378)
  • 3. R. G. Douglas, Banach algebra techniques in the theory of Toeplitz operators, American Mathematical Society, Providence, R.I., 1973. Expository Lectures from the CBMS Regional Conference held at the University of Georgia, Athens, Ga., June 12–16, 1972; Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 15. MR 0361894 (50 #14336)
  • 4. Carl Pearcy and Norberto Salinas, Operators with compact self-commutator, Canad. J. Math. 26 (1974), 115–120. MR 0336436 (49 #1210)
  • 5. U. Venugopalkrishna, Fredholm operators associated with strongly pseudoconvex domains in 𝐶ⁿ, J. Functional Analysis 9 (1972), 349–373. MR 0315502 (47 #4051)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13284-7
PII: S 0002-9904(1973)13284-7