Journal article
Uniformly super McDuff II1 factors
- Abstract:
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We introduce and study the family of uniformly super McDuff II1 factors. This family is shown to be closed under elementary equivalence and also coincides with the family of II1 factors with the Brown property introduced in Atkinson et al. (Adv. Math. 396, 108107, 2022). We show that a certain family of existentially closed factors, the so-called infinitely generic factors, are uniformly super McDuff, thereby improving a recent result of Chifan et al. (Embedding Universality for II1 Factors with Property (T). arXiv preprint, 2022). We also show that Popa’s family of strongly McDuff II1 factors are uniformly super McDuff. Lastly, we investigate when finitely generic II1 factors are uniformly super McDuff. II1
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
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(Preview, Accepted manuscript, pdf, 559.6KB, Terms of use)
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- Publisher copy:
- 10.1007/s00208-024-02959-w
Authors
- Publisher:
- Springer
- Journal:
- Mathematische Annalen More from this journal
- Volume:
- 391
- Issue:
- 2
- Pages:
- 2757-2781
- Publication date:
- 2024-09-12
- Acceptance date:
- 2024-07-28
- DOI:
- EISSN:
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1432-1807
- ISSN:
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0025-5831
- Language:
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English
- Pubs id:
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2054066
- Local pid:
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pubs:2054066
- Deposit date:
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2024-11-01
Terms of use
- Copyright holder:
- Goldbring et al.
- Copyright date:
- 2024
- Rights statement:
- Copyright © 2024, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Springer at https://dx.doi.org/10.1007/s00208-024-02959-w
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