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FRAÏSSE ́ LIMITS OF C*-ALGEBRAS

by Christopher J. Eagle, Ilijas Farah, Bradd Hart, Boris Kadets, Vladyslav Kalashnyk, Martino Lupini
"... Abstract. We realize the Jiang-Su algebra, all UHF algebras, and the hy-perfinite II1 factor as Fräısse ́ limits of suitable classes of structures. Moreover by means of Fräısse ́ theory we provide new examples of AF algebras with strong homogeneity properties. As a consequence of our analysis we d ..."
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Abstract. We realize the Jiang-Su algebra, all UHF algebras, and the hy-perfinite II1 factor as Fräısse ́ limits of suitable classes of structures. Moreover by means of Fräısse ́ 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. 1.
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