• Corpus ID: 119714245

Jiang-Su Algebra as a Fra\"iss\'e Limit

  title={Jiang-Su Algebra as a Fra\"iss\'e Limit},
  author={S. Masumoto},
  journal={arXiv: Operator Algebras},
  • S. Masumoto
  • Published 30 January 2016
  • Mathematics
  • arXiv: Operator Algebras
In this paper, we give a self-contained and quite elementary proof that the class of all dimension drop algebras together with their distinguished faithful traces forms a Fra\"iss\'e class with the Jiang-Su algebra as its limit. We also show that the UHF algebras can be realized as Fra\"iss\'e limits of classes of C*-algebras of matrix-valued continuous functions on $[0, 1]$ with faithful traces. 
The Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 factor are realized as Fraïssé limits of suitable classes of structures and Ramsey-theoretic results about the class of full-matrix alge bras are deduced.
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  • Transactions of the American Mathematical Society
  • 1960