-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

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We show that the -algebra of continuous functions on the Cantor set is a weakly semiprojective -algebra that is not semiprojective.

**[1]**B. Blackadar,*Shape theory for -algebras*, Math. Scand.**56**(1985), 249-275. MR**87b:46074****[2]**S. Eilers, T. A. Loring and G. K. Pedersen*Morphisms of extensions of -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 -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 into -algebras*, preprint.**[7]**H. Lin*Almost commuting unitary elements in purely infinite simple -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**

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

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