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arXiv · 1411.4066

Fraïssé limits of C*-algebras

Christopher J. Eagle·Ilijas Farah·Bradd Hart·Boris Kadets·Vladyslav Kalashnyk·Martino Lupini
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Abstract

We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II$_{1}$ factor as Fraïssé limits of suitable classes of structures. Moreover by means of Fraïssé 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.

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BibTeXRIS

Christopher J. Eagle, Ilijas Farah, Bradd Hart, Boris Kadets, Vladyslav Kalashnyk, Martino Lupini. 2016-11-14. Fraïssé limits of C*-algebras. https://doi.org/10.1017/jsl.2016.14

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