Extensions of $C^*$-algebras, operators with compact self-commutators, and $K$-homology
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- by L. G. Brown, R. G. Douglas and P. A. Fillmore PDF
- Bull. Amer. Math. Soc. 79 (1973), 973-978
References
- M. F. Atiyah, Global theory of elliptic operators, Proc. Internat. Conf. on Functional Analysis and Related Topics (Tokyo, 1969) Univ. Tokyo Press, Tokyo, 1970, pp. 21–30. MR 0266247
- L. G. Brown, R. G. Douglas, and P. A. Fillmore, Unitary equivalence modulo the compact operators and extensions of $C^{\ast }$-algebras, Proceedings of a Conference on Operator Theory (Dalhousie Univ., Halifax, N.S., 1973) Lecture Notes in Math., Vol. 345, Springer, Berlin, 1973, pp. 58–128. MR 0380478
- R. G. Douglas, Banach algebra techniques in the theory of Toeplitz operators, Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 15, 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. MR 0361894, DOI 10.1090/cbms/015
- Carl Pearcy and Norberto Salinas, Operators with compact self-commutator, Canadian J. Math. 26 (1974), 115–120. MR 336436, DOI 10.4153/CJM-1974-012-2
- U. Venugopalkrishna, Fredholm operators associated with strongly pseudoconvex domains in $C^{n}$, J. Functional Analysis 9 (1972), 349–373. MR 0315502, DOI 10.1016/0022-1236(72)90007-9
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 973-978
- MSC (1970): Primary 46L05, 47B05, 47B30, 55B05, 55B15, 55B20; Secondary 16A56, 47B20, 47B35, 47A55
- DOI: https://doi.org/10.1090/S0002-9904-1973-13284-7
- MathSciNet review: 0346540