@incollection{Connes1980,
  author    = {Connes, Alain},
  title     = {Classification des facteurs},
  booktitle = {Operator Algebras and Applications, Part 2},
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  volume    = {38},
  publisher = {American Mathematical Society},
  address   = {Providence, RI},
  year      = {1982},
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  url       = {https://alainconnes.org/publications/},
  note      = {Kingston, Ontario, 1980}
}

@article{Haagerup1987,
  author  = {Haagerup, Uffe},
  title   = {{Connes'} bicentralizer problem and uniqueness of the injective factor of type {$\mathrm{III}_1$}},
  journal = {Acta Mathematica},
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  year    = {1987},
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}

@article{HI2017,
  author  = {Houdayer, Cyril and Isono, Yusuke},
  title   = {Unique prime factorization and bicentralizer problem for a class of type {III} factors},
  journal = {Advances in Mathematics},
  volume  = {305},
  year    = {2017},
  pages   = {402--455},
  doi     = {10.1016/j.aim.2016.09.030},
  eprint  = {1503.01388},
  archivePrefix = {arXiv},
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  note    = {arXiv:1503.01388v3; \url{https://doi.org/10.1016/j.aim.2016.09.030}}
}

@article{AHHM2020,
  author  = {Ando, Hiroshi and Haagerup, Uffe and Houdayer, Cyril and Marrakchi, Amine},
  title   = {Structure of bicentralizer algebras and inclusions of type {III} factors},
  journal = {Mathematische Annalen},
  volume  = {376},
  number  = {3--4},
  year    = {2020},
  pages   = {1145--1194},
  doi     = {10.1007/s00208-019-01939-9},
  eprint  = {1804.05706},
  archivePrefix = {arXiv},
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  note    = {arXiv:1804.05706v2; \url{https://doi.org/10.1007/s00208-019-01939-9}}
}

@article{Marrakchi2020,
  author  = {Marrakchi, Amine},
  title   = {Full factors, bicentralizer flow and approximately inner automorphisms},
  journal = {Inventiones Mathematicae},
  volume  = {222},
  number  = {1},
  year    = {2020},
  pages   = {375--398},
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  eprint  = {1811.10253},
  archivePrefix = {arXiv},
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  note    = {arXiv:1811.10253v2; \url{https://doi.org/10.1007/s00222-020-00971-w}}
}

@article{Marrakchi2025,
  author  = {Marrakchi, Amine},
  title   = {{Kadison's} problem for type {III} subfactors and the bicentralizer conjecture},
  journal = {Inventiones Mathematicae},
  volume  = {239},
  number  = {1},
  year    = {2025},
  pages   = {79--163},
  doi     = {10.1007/s00222-024-01299-5},
  eprint  = {2308.15163},
  archivePrefix = {arXiv},
  url     = {https://arxiv.org/abs/2308.15163v3},
  note    = {arXiv:2308.15163v3; \url{https://doi.org/10.1007/s00222-024-01299-5}}
}

@misc{Marrakchi2026,
  author        = {Marrakchi, Amine},
  title         = {{Kadison's} problem and ergodicity of the bicentralizer flow},
  year          = {2026},
  eprint        = {2606.23636},
  archivePrefix = {arXiv},
  primaryClass  = {math.OA},
  howpublished  = {Preprint, arXiv:2606.23636v2},
  url           = {https://arxiv.org/abs/2606.23636v2},
  note          = {\url{https://arxiv.org/abs/2606.23636v2}}
}

@book{Takesaki2003,
  author    = {Takesaki, Masamichi},
  title     = {Theory of Operator Algebras {II}},
  series    = {Encyclopaedia of Mathematical Sciences},
  volume    = {125},
  publisher = {Springer-Verlag},
  address   = {Berlin},
  year      = {2003},
  doi       = {10.1007/978-3-662-10451-4},
  url       = {https://doi.org/10.1007/978-3-662-10451-4},
  note      = {\url{https://doi.org/10.1007/978-3-662-10451-4}}
}

@article{HaagerupMusat2007,
  author = {Haagerup, Uffe and Musat, Magdalena},
  title = {On the best constants in noncommutative {Khintchine}-type inequalities},
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  volume = {250},
  year = {2007},
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  archivePrefix = {arXiv},
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}

@article{MarrakchiVaes2024,
  author = {Marrakchi, Amine and Vaes, Stefaan},
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  eprint = {2305.14217},
  archivePrefix = {arXiv},
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}

@misc{HoudayerMarrakchi2026,
  author = {Houdayer, Cyril and Marrakchi, Amine},
  title = {The classification of flows on {$\mathrm{II}_1$} factors and {Connes'} bicentralizer problem},
  year = {2026},
  eprint = {2609.11462},
  archivePrefix = {arXiv},
  primaryClass = {math.OA},
  note = {Version 1, September 10, 2026},
  url = {https://arxiv.org/abs/2609.11462v1}
}

@article{Popa1981,
  author = {Popa, Sorin},
  title = {On a problem of {R. V. Kadison} on maximal abelian {$*$}-subalgebras in factors},
  journal = {Inventiones Mathematicae},
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  year = {1981},
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  doi = {10.1007/BF01389015}
}

@article{Houdayer2009,
  author = {Houdayer, Cyril},
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  doi = {10.1090/S0002-9939-09-09923-7},
  eprint = {0809.3827},
  archivePrefix = {arXiv},
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}

@article{Arveson1974,
  author = {Arveson, William},
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}

@article{Connes1985,
  author = {Connes, Alain},
  title = {Factors of type {$\mathrm{III}_1$}, property {$L'_\lambda$}, and closure of inner automorphisms},
  journal = {Journal of Operator Theory},
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  number = {1},
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}

@article{IoanaVaes2015,
  author = {Ioana, Adrian and Vaes, Stefaan},
  title = {Spectral gap for inclusions of von {Neumann} algebras},
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  note = {Appendix to A. Ioana, \emph{Cartan subalgebras of amalgamated free product {$\mathrm{II}_1$} factors}, pp.~71--130. \url{https://doi.org/10.24033/asens.2239}}
}