List of Publications

33. Operator space complexification transfigured

      Int. Math. Res. Not. IMRN; accepted

      (with D. Blecher).

32. Real structure in operator spaces, injective envelopes and G-spaces

      Integral Equations Operator Theory; accepted

      (with D. Blecher and A. Cecco).

31. SAT actions of discrete quantum groups and minimal amenable extensions of quantum group von Neumann algebras

      Proc. Amer. Math. Soc.; accepted

      (with F. Khosravi and M.S.M. Moakhar).

30. Tight inclusions of C*-dynamical systems

      Groups Geom. Dyn. 18 (2024), no. 1, 67-90

      (with Y. Hartman).

29. On invariant subalgebras of group C* and von Neumann algebras

      Ergodic Theory Dynam. Systems 43 (2023), no. 10, 3341-3353

      (with N. Panagopoulos).

28. A type I conjecture and boundary representations of hyperbolic groups

      Proc. Lond. Math. Soc. (3) 127 (2023), no. 2, 447-486

      (with P.-E. Caprace and N. Monod).

27. Stationary C*-dynamical systems

      J. Eur. Math. Soc. (JEMS) 25 (2023), no. 5, 1783-1821

      (with Y. Hartman);

      (includes an appendix with U. Bader and Y. Hartman).

26. Boundary maps and covariant representations

      Bull. Lond. Math. Soc.; 54 (2022), no. 5, 1944-1961

      (with E. Scarparo).

25. Boundary maps, germs and quasi-regular representations

      Advances in Mathematics 394 (2022), Paper No. 108130, 31 pp.

      (with E. Scarparo).

24. On fixed point property for Lp-representations of Kazhdan groups

      preprint arXiv:2007.15168

      (with A. Czuron).

23. Noncommutative Furstenberg boundary

      Analysis & PDE 15 (2022), no. 3, 795-842

      (with P. Kasprzak, A. Skalski and R. Vergnioux).

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).