# 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 L**, Proc. Amer. Math. Soc. 141 (2013), no. 11, 3969-3976.^{p}-operators on locally compact quantum groups**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).