
AbstractWe realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1factor 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.
Applications of model theory, strongly self-absorbing algebras, Mathematics - Operator Algebras, Fraisse limits, AF algebras, Jiang-Su algebra, logic of metric structures, Mathematics - Logic, Models of other mathematical theories, Fraïssé theory, 510, C*-algebras, General theory of \(C^*\)-algebras, FOS: Mathematics, Logic (math.LO), Operator Algebras (math.OA), continuous model theory
Applications of model theory, strongly self-absorbing algebras, Mathematics - Operator Algebras, Fraisse limits, AF algebras, Jiang-Su algebra, logic of metric structures, Mathematics - Logic, Models of other mathematical theories, Fraïssé theory, 510, C*-algebras, General theory of \(C^*\)-algebras, FOS: Mathematics, Logic (math.LO), Operator Algebras (math.OA), continuous model theory
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