Fra\"iss\'e limits of C*-algebras
Logic
2016-11-16 v4 Operator Algebras
Abstract
We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II factor as Fra\"iss\'e limits of suitable classes of structures. Moreover by means of Fra\"iss\'e 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.
Cite
@article{arxiv.1411.4066,
title = {Fra\"iss\'e limits of C*-algebras},
author = {Christopher J. Eagle and Ilijas Farah and Bradd Hart and Boris Kadets and Vladyslav Kalashnyk and Martino Lupini},
journal= {arXiv preprint arXiv:1411.4066},
year = {2016}
}
Comments
19 pages. Final submitted version