Pierre Fima

Maître de Conférences
Université Denis-Diderot - Paris 7
Equipe d'Algèbres d'Opérateurs
Institut Mathématiques de Jussieu
Site Sophie Germain
75 013 Paris
France
Office: 7010

pierre.fima@imj-prg.fr

PhD in Mathematics from the University of Caen, France (2007) and HDR in Mathematics from the University Paris 7 (2014).

Voici une synthèse de mes recherches.

PhD students:

  • Lorenzo Pittau
  • Rubén Martos
  • Frank Taipe
  • Hua Wang
  • Yigang Qiu
  • Arthur Troupel

    Prepublications:

  • Operator algebras of free wreath products, with A. Troupel.
    (2023). Download here in pdf.
  • Publications:

  • A characterization of high transitivity for groups acting on trees, with F. LeMaitre, S. Moon and Y. Stalder.
    Discrete Analysis (2022). Read here.
  • Homegeneous actions on Uryshon spaces, with F. LeMaitre, J. Melleray and S. Moon.
    Colloq. Math. 167 (2022). Download here in pdf.
  • Homogeneous Actions on the Random Graphs, with S. Moon and Y. Stalder.
    Groups, Geometry and Dynamics 15 (2021). Download here in pdf.
  • Rapid decay and polynomial growth for bicrossed products, with H. Wang.
    J. Noncommut. Geom. 15 (2021). Download here in pdf.
  • The KK-theory of amalgamated free products, with E. Germain.
    Adv. Math. 369 (2020). Download here in pdf.
  • The KK-theory of fundamental C*-algebras, with E. Germain.
    Trans. Amer. Math. Soc. 370 (2018), 7051-7079. Download here in pdf.
  • On compact bicrossed products, with K. Mukherjee and I. Patri.
    J. Noncommut. Geom. (2017); no. 1, 367-411. Download here in pdf.
  • The free wreath product of a compact quantum group by a quantum automorphism group, with L. Pittau.
    J. Funct. Anal. 271 (2016), no. 7, 1996-2043. Download here in pdf.
  • Graph products of operator algebras, with M. Caspers.
    J. Noncommut. Geom. (2017); no. 1, 367-411. Download here in pdf.
  • On a cocycle in the adjoint representation of the orthogonal free quantum groups, with R. Vergnioux.
    Int. Math. Res. Notices 2015 (2015) 10069-10094. Download here in pdf.
  • Highly transitive actions of groups acting on trees, with S. Moon and Y. Stalder.
    Proc. Amer. Math. Soc. 143 (2015) 5083-5094. Download here in pdf.
  • Graphs of quantum groups and K-amenability, with A. Freslon.
    Adv. Math. 260 (2014) 233-280. Download here in pdf.
  • The Haagerup property for locally compact quantum groups, with M. Daws, A. Skalski and S. White.
    J. Reine Angew. Math. 711 (2016) 198-229. Download here in pdf.
  • K-amenability of HNN extensions of amenable discrete quantum groups.
    Journal of Functional Analysis, 265 (2013) 507-519. Download here in pdf.
  • Amenable, transitive and faithful actions of groups acting on trees.
    Ann. Inst. Fourier (Grenoble) 24 (2014) 1-17. Download here in pdf.
  • A note on the von Neumann algebra of a Baumslag-Solitar group.
    C. R. Acad. Sci. Paris, Ser. I 349 (2011) 25-27. Download here in pdf.
  • HNN extensions and unique group measure space decomposition of II1 factors, with S. Vaes
    Transactions of the American Mathematical Society, 354 (2012) 2601-2617. Download here in pdf.
  • Property T for Discrete Quantum Groups
    International Journal of Mathematics 21 (2010), no. 1, Pages 47-65. Download here in pdf.
  • Twisting and Rieffel's deformation of locally compact quantum groups. Deformation of the Haar measure, with L. Vainerman
    Communications in Mathematical Physics, Volume 286, Number 3, March 2009, Pages 1011-1050. Download here in pdf.
  • A locally compact quantum group of upper triangular matrices, with L. Vainerman.
    Ukrainian Math. Journal, Volume 60, No 4 (2008), pp. 564 - 577. Download here in pdf.
  • On locally compact quantum groups whose algebras are factors.
    Journal of Functional Analysis, volume 244, Issue 1, 1 March 2007, Pages 78-94. Download here in pdf.
  • Some Additional Mathematical Texts:

  • Portes et Circuits Quantiques.
    Notes of a talk on Quantum Computation (french). Download here in pdf.

  • Last updated: June 21, 2023.