Journal article
A remark on the ultrapower algebra of the hyperfinite factor
Proceedings of the American Mathematical Society, Vol.146(12), pp.5289-5294
12/01/2018
DOI: 10.1090/proc/14197
Abstract
On page 43 in [Adv. in Math. 50 (1983), pp. 27–48] Sorin Popa asked whether the following property holds: If ω\omega is a free ultrafilter on N\mathbb N and R1⊆R\mathcal {R}_1\subseteq \mathcal {R} is an irreducible inclusion of hyperfinite II1_1 factors such that R′∩Rω⊆R1ω\mathcal {R}’\cap \mathcal {R}^\omega \subseteq \mathcal {R}^\omega _1 does it follows that R1=R\mathcal {R}_1=\mathcal {R}? In this short note we provide an affirmative answer to this question.
Details
- Title: Subtitle
- A remark on the ultrapower algebra of the hyperfinite factor
- Creators
- Ionut Chifan - University of Iowa, MathematicsSayan Das - University of California, Riverside
- Resource Type
- Journal article
- Publication Details
- Proceedings of the American Mathematical Society, Vol.146(12), pp.5289-5294
- DOI
- 10.1090/proc/14197
- ISSN
- 0002-9939
- eISSN
- 1088-6826
- Publisher
- American Mathematical Society
- Number of pages
- 6
- Language
- English
- Date published
- 12/01/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9983985921402771
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