THE JIANG–SU ALGEBRA AS A FRAÏSSÉ LIMIT-Reference-Cited by-同舟云学术

THE JIANG–SU ALGEBRA AS A FRAÏSSÉ LIMIT

Published:2017-05-16 Issue:4 Volume:82 Page:1541-1559
ISSN:0022-4812
Container-title:The Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

MASUMOTO SHUHEI

Abstract

AbstractIn 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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