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

Abstract

We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 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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