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THE JIANG–SU ALGEBRA AS A FRAÏSSÉ LIMIT

Published online by Cambridge University Press:  16 May 2017

SHUHEI MASUMOTO
SHUHEI MASUMOTO*
Affiliation:
GRADUATE SCHOOL OF MATHEMATICAL SCIENCETHE UNIVERSITY OF TOKYO3-8-1 KOMABA, MEGURO-KU TOKYO 153-8914, JAPANE-mail: masumoto@ms.u-tokyo.ac.jp
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Abstract

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In this paper, we give a self-contained and quite elementary proof that the class of all dimension drop algebras together with their distinguished faithful traces forms a Fraïssé class with the Jiang–Su algebra as its limit. We also show that the UHF algebras can be realized as Fraïssé limits of classes of C*-algebras of matrix-valued continuous functions on [0,1] with faithful traces.

Keywords

Primary 47L40Secondary 03C98Fraïssé theoryJiang–Su algebraUHF algebra
Type
Articles
Information
The Journal of Symbolic Logic , Volume 82 , Issue 4 , December 2017 , pp. 1541 - 1559
Copyright
Copyright © The Association for Symbolic Logic 2017 

References

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