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 Lp-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 Lp-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).