Rémi Boutonnet

Recent preprints

• Maximal amenable MASAs of radial type in free group factors, (with S. Popa).
  Preprint 2023, arXiv

Papers

1. On solid ergodicity for Gaussian actions.
   J. Funct. Anal. 263 (2012) 1040-1063. Article, arXiv


2. W*-superrigidity of mixing Gaussian actions of rigid groups.
   Adv. Math. 244 (2013), 69-90. Article, arXiv


3. Amalgamated free product type III factors with at most one Cartan subalgebra (with C. Houdayer and S. Raum).
   Compos. Math. 150 (2014), 143-174. Article, arXiv


4. Maximal amenable subalgebras of von Neumann algebras associated with hyperbolic groups (with A. Carderi).
   Math. Ann. 367 (2017), 1199-1216. Article, arXiv


5. Maximal amenable von Neumann subalgebras arising from maximal amenable subgroups (with A. Carderi).
   Geom. Funct. Anal. 25 (2015), 1688-1705. Article, arXiv


6. Local spectral gap in simple Lie groups and applications (with A. Ioana and A. Salehi-Golsefidi).
   Invent. Math. 208 (2017), 715-802. Article, arXiv


7. II_1 factors with non isomorphic ultrapowers (with I. Chifan and A. Ioana).
   Duke Math. J. 166 (2017), 2023-2051. Article, arXiv


8. Strong solidity of free Araki-Woods factors (with C. Houdayer and S. Vaes).
   Amer. J. Math. 140 (2018), 1231-1252. arXiv


9. Structure of modular invariant subalgebras in free Araki-Woods factors (with C. Houdayer).
   Anal. PDE 9 (2016), 1989-1998. Article, arXiv


10. Amenable absorption in amalgamated free product von Neumann algebras (with C. Houdayer).
    Kyoto J. Math. 58 (2018), no. 3, 583–593. Article, arXiv


11. A note on uniformly bounded cocycles into finite von Neumann algebras (with J. Roydor).
    Canad. Math. Bull. 61 (2018), no. 2, 236–239. Article.


12. Crossed-products by locally compact groups: Intermediate subfactors (with A. Brothier).
    Journal of Operator Theory 79 (2018), 101-137. Article, arXiv


13. Local spectral gap in the group of Euclidean isometries (with A. Ioana).
    Int. Math. Res. Not., rny029, https://doi.org/10.1093/imrn/rny029. Article, arXiv


14. Properly proximal groups and their von Neumann algebras (with A. Ioana and J. Peterson).
    Annales de l'ENS 54 (2021), 445-482. Article, arXiv


15. Stationary characters on lattices of semi-simple Lie groups (with C. Houdayer).
    Publ. Math. Inst. Hautes Études Sci. 133 (2021), 1-46. Article, arXiv


16. Charmenability of Arithmetic groups of product type (with U. Bader, C. Houdayer and J. Peterson).
    Invent. Math. 229 (2022), 929-985. Article, arXiv


17. Infinite characters of type II on SLn(Z).
    Confluentes Mathematici, Tome 14 (2022) no. 1, pp. 23-33. Article, arXiv


18. Charmenability of higher rank arithmetic groups (with U. Bader and C. Houdayer).
    To appear in Ann. H. Lebesgue. arXiv


19. The non-commutative factor theorem for lattices in product groups (with C. Houdayer).
    Journal de l’École polytechnique — Mathématiques, Tome 10 (2023), pp. 513-524. Article, arXiv

Conference proceedings

• Trou spectral local pour des actions de translation.
  Preprint 2019, pour les Actes du 2e congrès de la Société Mathématique de France. pdf

Lecture notes

• Notes on non-commutative ergodic theory and applications to characters, URS's and IRS's. For the CIRM meeting Etats de la recherche SMF.

Co-authors