A REMARK ON THE ULTRAPOWER ALGEBRA OF THE HYPERFINITE FACTOR

被引：6
作者：
Chifan, Ionut [1 ]
Das, Sayan [1 ]
机构：
[1] Univ Iowa, Dept Math, 14 MacLean Hall, Iowa City, IA 52242 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 12期
基金：
美国国家科学基金会;
关键词：
II1; FACTORS; INDEX; INFINITY;
D O I：
10.1090/proc/14197
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On page 43 in [Adv. in Math. 50 (1983), pp. 27-48] Sorin Popa asked whether the following property holds: If omega is a free ultrafilter on N and R-1 subset of R is an irreducible inclusion of hyperfinite II1 factors such that R' boolean AND R-omega subset of R-1(omega) does it follows that R-1 = R? In this short note we provide an affirmative answer to this question.
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收藏
页码：5289 / 5294
页数：6
相关论文
共 19 条
[1]  
[Anonymous], 1998, Oxford Mathematical Monographs
[2]  
[Anonymous], 1999, Doc. Math., V4, P665
[3]   CLASSIFICATION OF INJECTIVE FACTORS - CASES II1, II INFINITY, III LAMBDA, LAMBDA NOT-EQUAL-TO 1 [J].
CONNES, A .
ANNALS OF MATHEMATICS, 1976, 104 (01) :73-115
[4]  
Ioana A., 2018, P ICM UNPUB
[5]   INDEX FOR SUBFACTORS [J].
JONES, VFR .
INVENTIONES MATHEMATICAE, 1983, 72 (01) :1-25
[6]  
MCDUFF D, 1970, P LOND MATH SOC, V21, P443
[7]   UNCOUNTABLY MANY II1 FACTORS [J].
MCDUFF, D .
ANNALS OF MATHEMATICS, 1969, 90 (02) :372-&
[8]   A COUNTABLE INFINITY OF II1 FACTORS [J].
MCDUFF, D .
ANNALS OF MATHEMATICS, 1969, 90 (02) :361-+
[9]   On rings of operators [J].
Murray, FJ ;
von Neumann, J .
ANNALS OF MATHEMATICS, 1936, 37 :116-229
[10]  
PIMSNER M, 1986, ANN SCI ECOLE NORM S, V19, P57
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