International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 5, Pages 271-282
doi:10.1155/S0161171202012917

A class of simple tracially AF C*-algebras

Abstract

The concept of a tracially AF (TAF) C*-algebra was introduced recently to aid in the classification of nuclear C*-algebrasHere, we construct and study a broad class of inductive-limit C*-algebras. We give a numerical condition which, when satisfied, ensures that the corresponding algebra in our construction has the TAF property. We further give a necessary and sufficient condition under which certain of these C*-algebras are TAF.