Fraïssé limits of C*-algebras
arXiv:1411.4066 · doi:10.1017/jsl.2016.14
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.
19 pages. Final submitted version