Publications & Preprints (Link to My Google Scholar)

• 29. Tight inclusions of C*-dynamical systems
        submitted arXiv:2108.06100
        (with Y. Hartman).
  
  28. A noncommutative normal subgroup theorem for lattices of semisimple Lie groups
        submitted arXiv:2108.02928
        (with N. Panagopoulos).
  
  27. Boundary maps and covariant representations
        submitted arXiv:2106.06382
        (with E. Scarparo).
  
  26. Boundary maps, germs and quasi-regular representations
        submitted arXiv:2010.02536
        (with E. Scarparo).
  
  25. On fixed point property for L_p-representations of Kazhdan groups
        preprint arXiv:2007.15168
        (with A. Czuron).
  
  24. Noncommutative Furstenberg boundary
        Analysis & PDE; to appear
        (with P. Kasprzak, A. Skalski and R. Vergnioux).
  
  23. Stationary C*-dynamical systems
        J. Eur. Math. Soc. (JEMS); to appear
        (with Y. Hartman);
        (includes an appendix with U. Bader and Y. Hartman).
  
  22. Topological boundaries of unitary representations
        Int. Math. Res. Not. IMRN (2021), no. 12, 9425-9457
        (with A. Bearden).
  
  21. On simplicity of intermediate C*-algebras
        Ergodic Theory Dynam. Systems 40 (2020), no. 12, 3181-3187
        (with T. Amrutam).
  
  20. Quasi-regular representations of discrete groups and associated C*-algebras
        Trans. Amer. Math. Soc. 373 (2020), no. 3, 2105-2133
        (with B. Bekka).
  
  19. Induction for locally compact quantum groups revisited
        Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), no. 2, 1071-1093
        (with P. Kasprzak, A. Skalski and P. Soltan).
  
  18. Rokhlin dimension for compact quantum group actions
        J. Noncommut. Geom. 13 (2019), no. 2, 711-767
        (with E. Gardella and M. Lupini).
  
  17. C*-simplicity and the unique trace property for discrete groups
        Publ. Math. Inst. Hautes Études Sci. 126 (2017), 35-71
        (with E. Breuillard, M. Kennedy and N. Ozawa).
  
  16. Boundaries of reduced C*-algebras of discrete groups
        J. Reine Angew. Math. (Crelle's Journal) 727 (2017), 247-267
        (with M. Kennedy).
  
  15. Compact elements and operators of quantum groups
        Glasg. Math. J. 59 (2017), no. 2, 445-462
        (with M. Amini, A. Medghalchi, A. Mollakhalili and M. Neufang).
  
  14. Open quantum subgroups of locally compact quantum groups
        Advances in Mathematics 303 (2016), no.3, 322-359
        (with P. Kasprzak and A. Skalski).
  
  13. The classification problem for finitely generated operator systems and spaces
        preprint (2014) arXiv:1411.0512
        (with M. Argerami, S. Coskey, M. Kennedy, M. Lupini and M. Sabok).
  
  12. On Iterated powers of positive definite functions
        Bull. Aust. Math. Soc. 92 (2015), no. 3, 440-443.
  
  11. Harmonic operators of ergodic quantum group actions
        Proc. Amer. Math. Soc. 143 (2015), no. 10, 4325-4333
        (with M. Amini and M. S. M. Moakhar).
  
  10. An uncertainty principle for unimodular quantum groups
        J. Math. Phys. 55 (2014), no. 8, 081704
        (with J. Crann).
  
  9. Realization of quantum group Poisson boundaries as crossed products
      Bull. Lond. Math. Soc. 46 (2014), no. 6, 1267-1275
      (with M. Neufang and Z.-J. Ruan).
  
  8. Compact operators in regular LCQ groups
      Canad. Math. Bull. 57 (2014), no. 3, 546-550.
  
  7. From quantum groups to groups
      Canad. J. Math. 65 (2013), no. 5, 1073-1094
      (with M. Neufang).
  
  6. On harmonic noncommutative L^p-operators on locally compact quantum groups
      Proc. Amer. Math. Soc. 141 (2013), no. 11, 3969-3976.
  
  5. Representation of left centralizers for actions of locally compact quantum groups
      Internat. J. Math. 24 (2013), no. 4, 1350025, 10 pp.
  
  4. Duality, cohomology, and geometry of LCQ groups
      J. Math. Anal. Appl. 406 (2013), no. 1, 22-33
      (with M. Neufang).
  
  3. A limit theorem for discrete quantum groups
      J. Funct. Anal. 265 (2013), no. 3, 469-473.
  
  2. Poisson boundaries over locally compact quantum groups
      Internat. J. Math. 24 (2013), no. 3, 1350023, 21 pp.
      (with M. Neufang and Z.-J. Ruan).
  
  1. Hidden Subhypergroup Problem
      preprint (2006), arXiv:quant-ph/0609220
      (with M. Amini and M. M. Roozbehani).