Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published June 2016 | Submitted
Journal Article Open

Fraïssé limits of C*-algebras

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

Submitted - 1411.4066v3.pdf

Files

1411.4066v3.pdf
Files (276.9 kB)
Name Size Download all
md5:deb6b4e0d9c2862c2c5b53431ee94976
276.9 kB Preview Download

Additional details

Created:
August 20, 2023
Modified:
October 20, 2023