CaltechAUTHORS
Published June 2016 | Version Submitted
Journal Article Open

Fraïssé limits of C*-algebras

Creators

  • 1. ROR icon University of Toronto
  • 2. ROR icon York University
  • 3. ROR icon McMaster University
  • 4. ROR icon V. N. Karazin Kharkiv National University
  • 5. ROR icon University of California, Irvine

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.

Additional Information

© 2016 Cambridge University Press. Received November 15 2014. The genesis of this paper was a Fields Institute summer research project. The authors would like to thank the Institute for an excellent research environment. We would also like to thank Aaron Tikuisis for helpful conversations. Finally, we thank the anonymous referee for comments which led to numerous clarifications and improvements.

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Additional details

Identifiers

Eprint ID
69575
Resolver ID
CaltechAUTHORS:20160811-155437781

Related works

Describes
https://arxiv.org/abs/1411.4066 (URL)

Dates

Created
2016-08-11
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Updated
2021-11-11
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