Published June 2016
| Submitted
Journal Article
Open
Fraïssé limits of C*-algebras
Chicago
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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.Attached Files
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Additional details
- Eprint ID
- 69575
- Resolver ID
- CaltechAUTHORS:20160811-155437781
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2016-08-11Created from EPrint's datestamp field
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2021-11-11Created from EPrint's last_modified field