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$C^{*}$-algebras that are only weakly semiprojective


Author: Terry A. Loring
Journal: Proc. Amer. Math. Soc. 126 (1998), 2713-2715
MSC (1991): Primary 46L05
DOI: https://doi.org/10.1090/S0002-9939-98-04292-0
MathSciNet review: 1443393
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Abstract: We show that the $C^{*}$-algebra of continuous functions on the Cantor set is a weakly semiprojective $C^{*}$-algebra that is not semiprojective.


References [Enhancements On Off] (What's this?)

  • [1] B. Blackadar, Shape theory for $C^{*}$-algebras, Math. Scand. 56 (1985), 249-275. MR 87b:46074
  • [2] S. Eilers, T. A. Loring and G. K. Pedersen Morphisms of extensions of $C^*$-algebras: pushing forward the Busby invariant, Adv. Math, to appear.
  • [3] S. Eilers, T. A. Loring and G. K. Pedersen Stability of anticommutation relations. An application of noncommutative CW complexes, J. reine angew. Math., to appear.
  • [4] E. G. Effros and J. Kaminker, Homotopy continuity and shape theory for $C^*$-algebras, in Geometric Methods in Operator Algebras, Pitman, 1985. MR 88a:46082
  • [5] P. Friis and M. Rørdam Almost commuting self-adjoint matrices-a short proof of Huaxin Lin's theorem, J. reine angew. Math., 479 (1996), 121-131. MR 97i:46097
  • [6] H. Lin Homomorphisms from $C(X)$ into $C^{*}$-algebras, preprint.
  • [7] H. Lin Almost commuting unitary elements in purely infinite simple $C^{*}$-algebras, Math. Ann. 303 (1995), 599-616. MR 96k:46101
  • [8] H. Lin Almost commuting self-adjoint matrices and applications, Operator Algebras and Their Applications, Fields Institute Communications, vol. 13, Amer. Math. Soc., Providence, RI, 1997, pp. 193-233. CMP 97:05
  • [9] T. A. Loring, Lifting Solutions to Perturbing Problems, Fields Institute Monograph Series, vol. 8, Amer. Math. Soc., Providence, RI, 1997. MR 97:04

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Additional Information

Terry A. Loring
Affiliation: Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131
Email: loring@math.unm.edu

DOI: https://doi.org/10.1090/S0002-9939-98-04292-0
Keywords: Stable relations, semiprojectivity
Received by editor(s): November 19, 1996
Received by editor(s) in revised form: February 4, 1997
Additional Notes: The research summarized here was supported, in part, by the National Science Foundation, DMS-9531841
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society

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