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== C*-algebras ==
A UHF [[C*-algebra]] is the [[direct limit]] of an inductive system {''A<sub>n</sub>'', ''φ<sub>n</sub>''} where each ''A<sub>n</sub>'' is a finite dimensional full matrix algebra and each ''φ<sub>n</sub>'' : ''A<sub>n</sub>'' → ''A''<sub>''n''+1</sub> is a unital embedding.
:<math>A = \overline {\cup_n A_n}.</math>
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