Rémi Boutonnet

I am mostly interested in operator algebras, ergodic theory and geometric group theory.

Recent preprints

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).
    Preprint 2018, accepted to the Annales de l'ENS, arXiv

Conference proceedings

Lecture notes

Co-authors

Uri Bader, Arnaud Brothier, Alessandro Carderi, Ionut Chifan, Cyril Houdayer, Adrian Ioana, Jesse Peterson, Sven Raum, Jean Roydor, Alireza Salehi-Golsefidi, Stefaan Vaes.