The Jiang-Su algebra as a Fraïssé limit. (English) Zbl 1470.03019
Summary: In this paper, we give a self-contained and quite elementary proof that the class of all dimension drop algebras together with their distinguished faithful traces forms a Fraïssé class with the Jiang-Su algebra as its limit. We also show that the UHF algebras can be realized as Fraïssé limits of classes of C\(^*\)-algebras of matrix-valued continuous functions on \([0,1]\) with faithful traces.
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