THE ISOMORPHISM RELATION FOR SEPARABLE C*-ALGEBRAS

被引：13

作者：

Elliott, George A. ^{[1
]}

Farah, Ilijas ^{[2
]}

Paulsen, Vern I. ^{[3
]}

Rosendal, Christian ^{[4
]}

Toms, Andrew S. ^{[5
]}

Toernquist, Asger ^{[6
]}

机构：

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

[2] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

[3] Univ Houston, Dept Math, Houston, TX 77204 USA

[4] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

[5] Purdue Univ, Dept Math, W Lafayette, IN 47906 USA

[6] Univ Copenhagen, Dept Math Sci, DK-2100 Copenhagen, Denmark

来源：

MATHEMATICAL RESEARCH LETTERS | 2013年 / 20卷 / 06期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

COMPLEXITY;

D O I：

10.4310/MRL.2013.v20.n6.a6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the isomorphism relation for separable C*-algebras, the relations of complete and n-isometry for operator spaces, and the relations of unital n-order isomorphisms of operator systems, are Borel reducible to the orbit equivalence relation of a Polish group action on a standard Borel space.

引用

页码：1071 / 1080

页数：10

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