Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



$C^\ast$-algebras that are only weakly semiprojective

Author: Terry A. Loring
Journal: Proc. Amer. Math. Soc. 126 (1998), 2713-2715
MSC (1991): Primary 46L05
MathSciNet review: 1443393
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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?)

  • Bruce Blackadar, Shape theory for $C^\ast $-algebras, Math. Scand. 56 (1985), no. 2, 249–275. MR 813640, DOI
  • S. Eilers, T. A. Loring and G. K. Pedersen Morphisms of extensions of $C^*$-algebras: pushing forward the Busby invariant, Adv. Math, to appear.
  • 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.
  • E. G. Effros and J. Kaminker, Homotopy continuity and shape theory for $C^\ast $-algebras, Geometric methods in operator algebras (Kyoto, 1983) Pitman Res. Notes Math. Ser., vol. 123, Longman Sci. Tech., Harlow, 1986, pp. 152–180. MR 866493
  • Peter Friis and Mikael Rørdam, Almost commuting self-adjoint matrices—a short proof of Huaxin Lin’s theorem, J. Reine Angew. Math. 479 (1996), 121–131. MR 1414391, DOI
  • H. Lin Homomorphisms from $C(X)$ into $C^{*}$-algebras, preprint.
  • Hua Xin Lin, Almost commuting unitary elements in purely infinite simple $C^*$-algebras, Math. Ann. 303 (1995), no. 4, 599–616. MR 1359951, DOI
  • 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.
  • T. A. Loring, Lifting Solutions to Perturbing Problems, Fields Institute Monograph Series, vol. 8, Amer. Math. Soc., Providence, RI, 1997.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46L05

Retrieve articles in all journals with MSC (1991): 46L05

Additional Information

Terry A. Loring
Affiliation: Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131

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