Stenosis in dimension groups and AF C*-algebras.

K.R. Goodearl; D.E. Handelman

Displaying similar documents to “Stenosis in dimension groups and AF C*-algebras.”

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The aim of this note is to give an affirmative answer to a problem raised in [9] by J. Nehring and A. Skowroński, concerning the number of nonstable ℙ₁(K)-families of quasi-tubes in the Auslander-Reiten quivers of the trivial extensions of tubular algebras over algebraically closed fields K.

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Unital extensions of $A F$ -algebras by purely infinite simple algebras

Junping Liu, Changguo Wei (2014)

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In this paper, we consider the classification of unital extensions of $A F$ -algebras by their six-term exact sequences in $K$ -theory. Using the classification theory of $C^{*}$ -algebras and the universal coefficient theorem for unital extensions, we give a complete characterization of isomorphisms between unital extensions of $A F$ -algebras by stable Cuntz algebras. Moreover, we also prove a classification theorem for certain unital extensions of $A F$ -algebras by stable purely infinite simple $C^{*}$ -algebras...