Publications & Preprints (Link to My Google Scholar)

  • 23. Quasi-regular representations of discrete groups and associated C*-algebras, submitted arXiv:1903.00202; (with B. Bekka).
  • 22. Topological boundaries of unitary representations , submitted arXiv:1901.10937; (with A. Bearden).
  • 21. On simplicity of intermediate C*-algebras, Ergodic Theory Dynam. Systems to appear; (with T. Amrutam).
  • 20. Stationary C*-dynamical systems, submitted arXiv:1712.10133; (with Y. Hartman).
  • 19. Rokhlin dimension for compact quantum group actions, J. Noncommut. Geom. to appear; (with E. Gardella and M. Lupini).
  • 18. Induction for locally compact quantum groups revisited, Proc. A Royal Soc. Edinburgh to appear; (with P. Kasprzak, A. Skalski and P. Soltan).
  • 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, Adv. Math. 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).