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Lexicographic TAF Algebras

Author(s): Justin R. Peters; Yiu Tung Poon
Journal: Trans. Amer. Math. Soc. 349 (1997), 4825-4855.
MSC (1991): Primary 46M40, 47D25; Secondary 06F25
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Abstract: Lexicographic TAF algebras constitute a class of triangular AF
algebras which are determined by a countable ordered set $\Omega $, 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 $\Omega $.

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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: 10.1090/S0002-9947-97-02040-0
PII: S 0002-9947(97)02040-0
Received by editor(s): November 27, 1995
Copyright of article: Copyright 1997, American Mathematical Society

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