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We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 factor as Fräıssé limits of suitable classes of structures. Moreover by means of Fräıssé 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.
Classification of quantum groups and Belavin–Drinfeld cohomologies for orthogonal and symplectic Lie algebras Boris Kadets,1 Eugene Karolinsky,1 Iulia Pop,2 and Alexander Stolin3 1Department of Pure Mathematics, Kharkiv National University, Kharkiv, Ukraine 2Department of Mathematical Sciences, Chalmers University of Technology, Gothenburg, Sweden… (More)