FRAISSE LIMITS OF C*-ALGEBRAS

被引：12

作者：

Eagle, Christopher J. ^{[1
,2
]}

Farah, Ilijas ^{[3
,4
]}

Hart, Bradd ^{[5
]}

Kadets, Boris ^{[6
]}

Kalashnyk, Vladyslav ^{[7
]}

Lupini, Martino ^{[3
,8
]}

机构：

[1] Univ Toronto, Dept Math, 40 St George St, Toronto, ON M5S 2E4, Canada

[2] Univ Victoria, Dept Math & Stat, POB 1700 STN CSC, Victoria, BC V8W 2Y2, Canada

[3] York Univ, Dept Math & Stat, 4700 Keele St, N York, ON M3J 1P3, Canada

[4] Inst Matemat, Kneza Mihaila 34, Belgrade, Serbia

[5] McMaster Univ, Dept Math & Stat, 1280 Main St, West Hamilton, ON L8S 4K1, Canada

[6] Kharkiv VN Karazin Natl Univ, Sch Math & Mech Engn, Kharkov, Ukraine

[7] Univ Calif Irvine, Dept Math, 340 Rowland Hall, Irvine, CA 92697 USA

[8] CALTECH, Dept Math, 1200 E Calif Blvd, MC 253-37, Pasadena, CA 91125 USA

来源：

JOURNAL OF SYMBOLIC LOGIC | 2016年 / 81卷 / 02期

关键词：

Fraisse limits; AF algebras; Jiang-Su algebra; logic of metric structures; CLASSIFICATION;

D O I：

10.1017/jsl.2016.14

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：755 / 773

页数：19

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