Lexicographic TAF Algebras

Authors:
Justin R. Peters and Yiu Tung Poon

Journal:
Trans. Amer. Math. Soc. **349** (1997), 4825-4855

MSC (1991):
Primary 46M40, 47D25; Secondary 06F25

DOI:
https://doi.org/10.1090/S0002-9947-97-02040-0

MathSciNet review:
1443887

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Abstract | References | Similar Articles | Additional Information

Abstract: Lexicographic TAF algebras constitute a class of triangular AF

algebras which are determined by a countable ordered set , a dimension function, and a third parameter. While some of the important examples of TAF algebras belong to the class, most algebras in this class have not been studied. The semigroupoid of the algebra, the lattice of invariant projections, the Jacobson radical, and for some cases the automorphism group are computed. Necessary and sufficient conditions for analyticity are given. The results often involve the order properties of the set .

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Additional Information

**Justin R. Peters**

Affiliation:
Department of Mathematics, Iowa State University, Ames, Iowa 50011-2064

Email:
peters@iastate.edu

**Yiu Tung Poon**

Affiliation:
Department of Mathematics, Iowa State University, Ames, Iowa 50011-2064

Email:
ytpoon@iastate.edu

DOI:
https://doi.org/10.1090/S0002-9947-97-02040-0

Received by editor(s):
November 27, 1995

Article copyright:
© Copyright 1997
American Mathematical Society