| Authors: | Eagle, Christopher Farah, Ilijas Hart, Bradd Kadets, Boris Kalashnyk, Vladyslav Lupini, Martino |
Title: | Fräissé limits of C*-algebras | Journal: | Journal of Symbolic Logic | Volume: | 81 | Issue: | 2 | First page: | 755 | Last page: | 773 | Issue Date: | 1-Jun-2016 | Rank: | M22 | ISSN: | 0022-4812 | DOI: | 10.1017/jsl.2016.14 | Abstract: | We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 factor as Fräissé limits of suitable classes of structures. Moreover by means of Fräissé theory we provide new examples of AF algebras with strong homogeneity properties. As a consequence of our analysis we deduce Ramsey-theoretic results about the class of full-matrix algebras. |
Keywords: | AF algebras | Fräissé limits | Jiang-su algebra | Logic of metric structures | Publisher: | Cambridge University Press |
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