FRAÏSSÉ LIMITS OF C*-ALGEBRAS Journal Articles

abstract

• AbstractWe realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1factor 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.

authors

• EAGLE, CHRISTOPHER J
• FARAH, ILIJAS
• Hart, Bradd
• KADETS, BORIS
• KALASHNYK, VLADYSLAV
• LUPINI, MARTINO

status

• published 

publication date

• June 2016

has subject area

• 0101 Pure Mathematics (FoR)
• 0802 Computation Theory and Mathematics (FoR)
• 2203 Philosophy (FoR)
• General Mathematics (Science Metrix)

published in

• Journal of Symbolic Logic (JSL)  Journal

keywords

• AF algebras
• CLASSIFICATION
• Fraisse limits
• Jiang-Su algebra
• Logic
• Mathematics
• Physical Sciences
• Science & Technology
• Science & Technology - Other Topics
• logic of metric structures

Digital Object Identifier (DOI)

• 10.1017/jsl.2016.14

start page

• 755

end page

• 773

volume

• 81

issue

• 2