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FRAÏSSÉ LIMITS OF C*-ALGEBRAS

Published online by Cambridge University Press:  29 June 2016

CHRISTOPHER J. EAGLE ,
ILIJAS FARAH ,
BRADD HART ,
BORIS KADETS ,
VLADYSLAV KALASHNYK  and
MARTINO LUPINI
CHRISTOPHER J. EAGLE
Affiliation:
DEPARTMENT OF MATHEMATICS UNIVERSITY OF TORONTO 40 ST. GEORGE STREET TORONTO, ONTARIO, M5S 2E4CANADAE-mail:eaglec@uvic.ca
ILIJAS FARAH
Affiliation:
DEPARTMENT OF MATHEMATICS AND STATISTICS YORK UNIVERSITY4700KEELE STREET NORTH YORK, ONTARIO, M3J 1P3CANADA MATEMATICKI INSTITUT KNEZA MIHAILA 34 BELGRADE, SERBIAE-mail:ifarah@mathstat.yorku.caURL: http://www.math.yorku.ca/∼ifarah
BRADD HART
Affiliation:
DEPARTMENT OF MATHEMATICS AND STATISTICS MCMASTER UNIVERSITY1280MAIN STREET WEST HAMILTON, ONTARIO, L8S 4K1CANADAE-mail:hartb@mcmaster.caURL: http://www.math.mcmaster.ca/∼bradd/
BORIS KADETS
Affiliation:
SCHOOL OF MATHEMATICS AND MECHANICAL ENGINEERING KHARKIV V.N. KARAZIN NATIONAL UNIVERSITY KHARKIV, UKRAINEE-mail:borja.kadets@gmail.com
VLADYSLAV KALASHNYK
Affiliation:
DEPARTMENT OF MATHEMATICS 340 ROWLAND HALL UNIVERSITY OF CALIFORNIA, IRVINE IRVINE, CA92697-3875, USAE-mail:vkalashn@uci.edu
MARTINO LUPINI
Affiliation:
DEPARTMENT OF MATHEMATICS AND STATISTICS YORK UNIVERSITY4700KEELE STREET NORTH YORK, ONTARIO, M3J 1P3CANADAE-mail:lupini@caltech.edu
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Abstract

We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 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.

Keywords

Fraïssé limitsAF algebrasJiang-Su algebralogic of metric structures
Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 2 , June 2016 , pp. 755 - 773
Copyright
Copyright © The Association for Symbolic Logic 2016 

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