# Jiang-Su Algebra as a Fra\"iss\'e Limit

@article{Masumoto2016JiangSuAA, title={Jiang-Su Algebra as a Fra\"iss\'e Limit}, author={S. Masumoto}, journal={arXiv: Operator Algebras}, year={2016} }

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 Fra\"iss\'e class with the Jiang-Su algebra as its limit. We also show that the UHF algebras can be realized as Fra\"iss\'e limits of classes of C*-algebras of matrix-valued continuous functions on $[0, 1]$ with faithful traces.

## 3 Citations

FRAÏSSÉ LIMITS OF C*-ALGEBRAS

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The Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 factor are realized as Fraïssé limits of suitable classes of structures and Ramsey-theoretic results about the class of full-matrix alge bras are deduced.

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We show that, for a given compact or discrete quantum group G, the class of actions of G on C*-algebras is first-order axiomatizable in the logic for metric structures. As an application, we extend…

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