Residually finite dimensional and AF-embeddable $C^*$-algebras
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Abstract:
We show that every separable nuclear residually finite dimensional $C^*$-algebras satisfying the Universal Coefficient Theorem can be embedded into a unital separable simple AF-algebra.References
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Additional Information
- Huaxin Lin
- Affiliation: Department of Mathematics, East China Normal University, Shanghai, China
- Address at time of publication: Department of Mathematics, University of Oregon, Eugene, Oregon 97403-1222
- Email: hxlin@noether.uoregon.edu
- Received by editor(s): July 22, 1998
- Received by editor(s) in revised form: September 13, 1999
- Published electronically: November 2, 2000
- Additional Notes: Research partially supported by NSF grants DMS 9801482
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1689-1696
- MSC (2000): Primary 46L05, 46L35
- DOI: https://doi.org/10.1090/S0002-9939-00-05744-0
- MathSciNet review: 1814098