Fra\"iss\'e limits of C*-algebras

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

arxiv: 1411.4066 · v4 · pith:X6JYKUHUnew · submitted 2014-11-14 · 🧮 math.LO · math.OA

Fra\"iss\'e limits of C*-algebras

Christopher J. Eagle , Ilijas Farah , Bradd Hart , Boris Kadets , Vladyslav Kalashnyk , Martino Lupini This is my paper

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We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II$_{1}$ factor as Fra\"iss\'e limits of suitable classes of structures. Moreover by means of Fra\"iss\'e 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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Fra\"iss\'e limits of C*-algebras

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