Fräissé limits of C*-algebras

Christopher J. Eagle; Ilijas Farah; Bradd Hart; Boris Kadets; Vladyslav Kalashnyk; Martino Lupini

doi:https://doi.org/10.1017/jsl.2016.14

Fräissé limits of C*-algebras

Christopher J. Eagle, Ilijas Farah, Bradd Hart, Boris Kadets, Vladyslav Kalashnyk, Martino Lupini

Research output: Contribution to journal › Article › peer-review

Abstract

We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II₁ factor as Fräissé limits of suitable classes of structures. Moreover by means of Fräissé 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.

Original language	English
Pages (from-to)	755-773
Number of pages	19
Journal	Journal of Symbolic Logic
Volume	81
Issue number	2
DOIs	https://doi.org/10.1017/jsl.2016.14
State	Published - 1 Jun 2016
Externally published	Yes

Keywords

AF algebras
Fräissé limits
Jiang-su algebra
Logic of metric structures

All Science Journal Classification (ASJC) codes

Philosophy
Logic

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https://doi.org/10.1017/jsl.2016.14

Cite this

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title = "Fr{\"a}iss{\'e} limits of C*-algebras",

abstract = "We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 factor as Fr{\"a}iss{\'e} limits of suitable classes of structures. Moreover by means of Fr{\"a}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.",

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AU - Eagle, Christopher J.

AU - Farah, Ilijas

AU - Hart, Bradd

AU - Kadets, Boris

AU - Kalashnyk, Vladyslav

AU - Lupini, Martino

PY - 2016/6/1

Y1 - 2016/6/1

N2 - We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 factor as Fräissé limits of suitable classes of structures. Moreover by means of Fräissé 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.

AB - We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 factor as Fräissé limits of suitable classes of structures. Moreover by means of Fräissé 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.

KW - AF algebras

KW - Fräissé limits

KW - Jiang-su algebra

KW - Logic of metric structures

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DO - https://doi.org/10.1017/jsl.2016.14

M3 - مقالة

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SP - 755

EP - 773

JO - Journal of Symbolic Logic

JF - Journal of Symbolic Logic

IS - 2

ER -

Fräissé limits of C*-algebras

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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