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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Homogeneous extensions of $C^*$-algebras and $K$-theory. I


Author: Claude Schochet
Journal: Bull. Amer. Math. Soc. 3 (1980), 715-718
MSC (1980): Primary 46L05, 55N15; Secondary 46M20, 47C15, 55N07, 55N20, 55P25, 55U25
DOI: https://doi.org/10.1090/S0273-0979-1980-14803-X
MathSciNet review: 571375
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  • 1. L. G. Brown, R. G. Douglas and P. A. Fillmore, Unitary equivalence modulo the compact operators and extensions of C*-algebras, Proc. Conf. on Operator Theory, Lecture Notes in Math., vol. 345, Springer-Verlag, Berlin and New York, 1973, pp. 58-128. MR 380478
  • 2. 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
  • 3. D. S. Kahn, J. Kaminker and C. Schochet, Generalized homology theories on compact metric spaces, Michigan Math. J. 24 (1977), 203-224. MR 474274
  • 4. J. Kaminker and C. Schochet, K-theory and Steenrod homology: applications to the Brown-Douglas-Fillmore theory of operator algebras, Trans. Amer. Math. Soc. 227 (1977), 63-107. MR 431136
  • 5. G. G. Kasparov, The 𝐾-functors in the theory of extensions of 𝐶*-algebras, Funktsional. Anal. i Prilozhen. 13 (1979), no. 4, 73–74 (Russian). MR 554420
  • 6. M. Pimsner, S. Popa, and D. Voiculescu, Homogeneous 𝐶*-extensions of 𝐶(𝑋)⊗𝐾(𝐻). I, J. Operator Theory 1 (1979), no. 1, 55–108. MR 526291
  • 7. M. Pimsner, Homogeneous C*-extensions of $C(X)øtimes K(H)$), Part II, J. Operator Theory (to appear).

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Additional Information

DOI: https://doi.org/10.1090/S0273-0979-1980-14803-X

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