FRAÏSSÉ LIMITS OF C*-ALGEBRAS Academic Article uri icon

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abstract

  • We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II$_{1}$ 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.

authors

  • EAGLE, CHRISTOPHER J
  • FARAH, ILIJAS
  • Hart, Bradd
  • KADETS, BORIS
  • KALASHNYK, VLADYSLAV
  • LUPINI, MARTINO

publication date

  • June 2016