Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In C*- algebras, an approximately finite dimensional, or AF, C*-algebra is one that is the inductive limit of a sequence of finite dimensional C*-algebras. Approximate finite dimensionality was first defined and described combinatorially by Bratteli. Elliott gave a complete classification of AF algebras using the K0 functor whose range consists of certain type of abelian groups.

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