Preprints

  1. Measure equivalence and coarse equivalence for locally compact amenable groups,
    with Juhani Koivisto and David Kyed, 2017. ArXiv
  2. Traces on reduced group C*-algebras,
    with Matthew Kennedy, 2017. ArXiv
  3. Locally compact groups acting on trees, the type I conjecture and non-amenable von Neumann algebras,
    with Cyril Houdayer, 2016. ArXiv

Papers

  1. Higher l2-Betti numbers of universal quantum groups,
    with Julien Bichon and David Kyed, 2016, accepted for publication in Can. Math. Bull. ArXiv
  2. L2-Betti numbers of rigid C*-tensor categories and discrete quantum groups , with David Kyed, Stefaan Vaes and Matthias Valvekens, Analysis & PDE 10 (2017), No. 7, 1757-1791 . ArXiv
  3. On the l2-Betti numbers of universal quantum groups , with David Kyed, 2016, accepted for publication in Math. Ann. ArXiv
  4. Cocompact amenable closed subgroups: weakly inequivalent representations in the left-regular representation , Int. Math. Res. Not., (2016), No. 24, 7671-7685 ArXiv
  5. C*-simplicity of locally compact Powers groups , 2015, accepted for publication in J. Reine Angew. Math. ArXiv
  6. The full classification of orthogonal easy quantum groups , with Moritz Weber, Commun. Math. Phy. 341 (2016) No. 3, 751-779 ArXiv
  7. Easy quantum groups and quantum subgroups of a semi-direct product quantum group , with Moritz Weber, J. Noncommu. Geo. 9 (2015) No. 4, 1261-1293 ArXiv
  8. Asymptotic structure of free Araki-Woods factors , with Cyril Houdayer, Math. Ann. 363 (2015) No. 1-2, 237-267. ArXiv
  9. Baumslag-Solitar groups, relative profinite completions and measure equivalence rigidity, , with Cyril Houdayer, J. Topol. 8 (2015), 295-313. ArXiv
  10. The combinatorics of an algebraic class of easy quantum groups , with Moritz Weber, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 3 (2014). ArXiv
  11. Amalgamated free product type III factors with at most one Cartan subalgebra , with Rémi Boutonnet and Cyril Houdayer, Compositio Math. 150 (2014), 143-174. ArXiv
  12. On the classification of free Bogoljubov crossed product von Neumann algebras by the integers , Groups, Geom. and Dyn. 8 (2014) No. 4, 1207-1245. ArXiv
  13. Tensor C*-categories arising as bimodule categories of II1 factors , with Sébastien Falguières, Adv. Math. 237 (2013), 331-359. ArXiv
  14. Stable orbit equivalence of Bernoulli actions of free groups and isomorphism of some of their factor actions , with Niels Meesschaert and Stefaan Vaes, Expo. Math. 31 (2013), 274-294. ArXiv
  15. Isomorphisms and fusion rules of orthogonal free quantum groups and their complexifications , Proc. Amer. Math. Soc. 140 (2012), No. 9, 3207-3218. ArXiv

Other work

  1. Lecture notes for talk about Creutz-Peterson's "Character rigidity for lattices and commensureators". Written for the Arbeitsgemeinschaft "Superrigidity" in Oberwolfach, 2014. Lecture C3 , Lecture C4 .

  2. A connection between easy quantum groups, varieties of groups and reflection groups,
    with Moritz Weber, 2012. ArXiv
    This preprint is not intended for publication. Please cite instead the appropriate article among my remaining work with Moritz.

  3. Categories of representations and classification of von Neumann algebras and quantum groups,
    PhD thesis at KU Leuven under the supervision of Stefaan Vaes, 2013. PhD Thesis