A remark on the ultrapower algebra of the hyperfinite factor

Ionut Chifan; Sayan Das

doi:10.1090/proc/14197

A remark on the ultrapower algebra of the hyperfinite factor

Ionut Chifan
, Sayan Das

University of Iowa

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6 引用（Scopus）

摘要

On page 43 in [Adv. in Math. 50 (1983), pp. 27–48] Sorin Popa asked whether the following property holds: If ω is a free ultrafilter on N and R ₁ <Ris an irreducible inclusion of hyperfinite II ₁ factors such that R ^′ ∩R ^ω <R ^ω ₁ does it follows that R ₁ = R? In this short note we provide an affirmative answer to this question.

源语言	英语
页（从-至）	5289-5294
页数	6
期刊	Proceedings of the American Mathematical Society
卷	146
期	12
DOI	https://doi.org/10.1090/proc/14197
出版状态	已出版 - 12月 2018
已对外发布	是

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A remark on the ultrapower algebra of the hyperfinite factor

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