Cao, Tao2024-08-132024-08-1319921992https://hdl.handle.net/1828/17387AF algebras arised in the study of the algebraic classification of C-*algebras. The structure of an AF algebra can be described by a convenient notation called a Bratteli diagram. AF algebras are classified by certain discrete, ordered abelian groups which are just the inductive limits of inductive systems of groups of the form Zʳ. These groups are called dimension groups and they are just Kₒ groups in K-theory.108 pagesAvailable to the World Wide WebUN SDG 10: Reduced InequalitiesThesis