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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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

Author(s): Terry A. Loring
Journal: Proc. Amer. Math. Soc. 126 (1998), 2713-2715.
MSC (1991): Primary 46L05
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:

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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

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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

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H. Lin Homomorphisms from $C(X)$ into $C^{*}$-algebras, preprint.

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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: 10.1090/S0002-9939-98-04292-0
PII: S 0002-9939(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
Copyright of article: Copyright 1998, American Mathematical Society




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