FRAÏSSÉ LIMITS OF C*-ALGEBRAS

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.