Residually finite dimensional and AF-embeddable -algebras

Author:
Huaxin Lin

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

Published electronically:
November 2, 2000

MathSciNet review:
1814098

Full-text PDF

Abstract | References | Similar Articles | Additional Information

We show that every separable nuclear residually finite dimensional -algebras satisfying the Universal Coefficient Theorem can be embedded into a unital separable simple AF-algebra.

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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

DOI:
https://doi.org/10.1090/S0002-9939-00-05744-0

Keywords:
AF-embedding,
TAF $C^*$-algebra

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

Article copyright:
© Copyright 2000
American Mathematical Society