The classification of extensions of $C^ *$-algebras
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- by Jonathan Rosenberg and Claude Schochet PDF
- Bull. Amer. Math. Soc. 4 (1981), 105-110
References
- Lawrence G. Brown, Operator algebras and algebraic $K$-theory, Bull. Amer. Math. Soc. 81 (1975), no. 6, 1119–1121. MR 383090, DOI 10.1090/S0002-9904-1975-13943-7
- Lawrence G. Brown, Extensions and the structure of $C^*$-algebras, Symposia Mathematica, Vol. XX (Convegno sulle Algebre $C^*$ e loro Applicazioni in Fisica Teorica, Convegno sulla Teoria degli Operatori Indice e Teoria $K$, INDAM, Rome, 1975) Academic Press, London, 1976, pp. 539–566. MR 0458197
- L. G. Brown, R. G. Douglas, and P. A. Fillmore, Extensions of $C^*$-algebras and $K$-homology, Ann. of Math. (2) 105 (1977), no. 2, 265–324. MR 458196, DOI 10.2307/1970999
- Robert C. Busby, Double centralizers and extensions of $C^{\ast }$-algebras, Trans. Amer. Math. Soc. 132 (1968), 79–99. MR 225175, DOI 10.1090/S0002-9947-1968-0225175-5
- Joachim Cuntz and Wolfgang Krieger, A class of $C^{\ast }$-algebras and topological Markov chains, Invent. Math. 56 (1980), no. 3, 251–268. MR 561974, DOI 10.1007/BF01390048
- Ronald G. Douglas, $C^{\ast }$-algebra extensions and $K$-homology, Annals of Mathematics Studies, No. 95, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1980. MR 571362, DOI 10.1515/9781400881468
- John Phillips and Iain Raeburn, Perturbations of AF-algebras, Canadian J. Math. 31 (1979), no. 5, 1012–1016. MR 546954, DOI 10.4153/CJM-1979-093-8
- Daniel S. Kahn, Jerome Kaminker, and Claude Schochet, Generalized homology theories on compact metric spaces, Michigan Math. J. 24 (1977), no. 2, 203–224. MR 474274
- G. G. Kasparov, The $K$-functors in the theory of extensions of $C^{\ast }$-algebras, Funktsional. Anal. i Prilozhen. 13 (1979), no. 4, 73–74 (Russian). MR 554420
- J. Milnor, On axiomatic homology theory, Pacific J. Math. 12 (1962), 337–341. MR 159327, DOI 10.2140/pjm.1962.12.337
- M. Pimsner, S. Popa, and D. Voiculescu, Homogeneous $C^{\ast }$-extensions of $C(X)\otimes K(H)$. I, J. Operator Theory 1 (1979), no. 1, 55–108. MR 526291
- Claude Schochet, Homogeneous extensions of $C^{\ast }$-algebras and $K$-theory. I, Bull. Amer. Math. Soc. (N.S.) 3 (1980), no. 1, 715–718. MR 571375, DOI 10.1090/S0273-0979-1980-14803-X
- Claude Schochet, Topological methods for $C^{\ast }$-algebras. I. Spectral sequences, Pacific J. Math. 96 (1981), no. 1, 193–211. MR 634772, DOI 10.2140/pjm.1981.96.193
- Dan Voiculescu, Remarks on the singular extension in the $C^{\ast }$-algebra of the Heisenberg group, J. Operator Theory 5 (1981), no. 2, 147–170. MR 617972
Additional Information
- Journal: Bull. Amer. Math. Soc. 4 (1981), 105-110
- MSC (1980): Primary 46L05, 55N20, 18G15
- DOI: https://doi.org/10.1090/S0273-0979-1981-14873-4
- MathSciNet review: 590821