NONSEPARABLE UHF ALGEBRAS II: CLASSIFICATION

被引：0

作者：

Farah, Ilijas ^{[1
,2
]}

Katsura, Takeshi ^{[3
]}

机构：

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

[2] Inst Matemat, Belgrade, Serbia

[3] Keio Univ, Fac Sci & Technol, Dept Math, Kouhoku Ku, Yokohama, Kanagawa 2238522, Japan

来源：

MATHEMATICA SCANDINAVICA | 2015年 / 117卷 / 01期

关键词：

C-ASTERISK-ALGEBRAS; CUNTZ SEMIGROUP; MODEL-THEORY; AF-ALGEBRAS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every uncountable cardinal kappa there are 2(kappa) nonisomorphic simple AF algebras of density character kappa and 2(kappa) nonisomorphic hyperfinite II1 factors of density character kappa. These estimates are maximal possible. All C*-algebras that we construct have the same Elliott invariant and Cuntz semigroup as the CAR algebra.

引用

页码：105 / 125

页数：21

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