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arXiv · 1602.00124

Jiang-Su Algebra as a Fraïssé Limit

Shuhei Masumoto
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Abstract

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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Shuhei Masumoto. 2016-01-30. Jiang-Su Algebra as a Fraïssé Limit. https://arxiv.org/abs/1602.00124

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