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A Fra\"iss\'e theoretic approach to the Jiang--Su algebra

Operator Algebras 2016-12-05 v1 Logic

Abstract

In this paper, we give a Fra\"iss\'e theoretic proof of the result of X. Jiang and H. Su that the Jiang--Su algebra is the unique monotracial simple C*-algebra among all inductive limits of prime dimension drop algebras. We also partially recover the fact that every unital endomorphism of the Jiang--Su algebra is approximately inner.

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Cite

@article{arxiv.1612.00646,
  title  = {A Fra\"iss\'e theoretic approach to the Jiang--Su algebra},
  author = {Shuhei Masumoto},
  journal= {arXiv preprint arXiv:1612.00646},
  year   = {2016}
}

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22 pages