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Fraïssé limits of C*-algebras

Eagle, Christopher J. and Farah, Ilijas and Hart, Bradd and Kadets, Boris and Kalashnyk, Vladyslav and Lupini, Martino (2016) Fraïssé limits of C*-algebras. Journal of Symbolic Logic, 81 (2). pp. 755-773. ISSN 0022-4812. doi:10.1017/jsl.2016.14.

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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.

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Lupini, Martino0000-0003-1588-7057
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.
Issue or Number:2
Record Number:CaltechAUTHORS:20160811-155437781
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Official Citation:CHRISTOPHER J. EAGLE, ILIJAS FARAH, BRADD HART, BORIS KADETS, VLADYSLAV KALASHNYK and MARTINO LUPINI (2016). FRAÏSSÉ LIMITS OF C*-ALGEBRAS. The Journal of Symbolic Logic, 81, pp 755-773. doi:10.1017/jsl.2016.14.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:69575
Deposited By: Tony Diaz
Deposited On:11 Aug 2016 23:19
Last Modified:11 Nov 2021 04:16

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