Research

Papers and Preprints

[26] Averaging multipliers on locally compact quantum groups (joint with M. Daws, J. Krajczok), arXiv:2312.13626 

[25] The approximation property for locally compact quantum groups (joint with M. Daws, J. Krajczok), arXiv:2305.04894, Adv. Math. 438 (2024), Paper No 109452 

[24] The Plancherel formula for complex semisimple quantum groups (joint with R. Yuncken), arXiv:1906.02672, Ann. Sci. Ec. Norm. Sup. 56 (2023), 299-324 

[23] Infinite quantum permutations, arXiv:2208.01310, Adv. Math. 415 (2023), Paper No 108887

[22] Hecke algebras and the Schlichting completion for discrete quantum groups (joint with A. Skalski, R. Vergnioux), arXiv 2203.01166, J. London Math. Soc. 107 (2023), 843-885

[21] Quantum Cuntz-Krieger algebras (joint with M. Brannan, K. Eifler, M. Weber), arXiv:2009.09466, Trans. Amer. Math. Soc. 9 (2022), 782-826

[20]  On the assembly map for complex semisimple quantum groups, arXiv:1912.08646, Int. Math. Res. Notices 13 (2022), 9603-9632

[19] Complex semisimple quantum groups and representation theory (joint with R. Yuncken), arXiv:1705.05661, Lecture Notes in Mathematics 2264, Springer, 2020

[18] On bicolimits of C*-categories (joint with J. Antoun), arXiv:2006.06232, Theory Appl. Categories 35 (2020), 1683-1725

[17] Complex quantum groups and a deformation of the Baum-Connes assembly map (joint with A. Monk), arXiv:2203.01166, Trans. Amer. Math. Soc. 371 (2019), 8849-8877

[16] On the structure of quantum automorphism groups, arXiv:1411.1939, J. Reine Angew. Math. 732 (2017), 255-273

[15] The spatial Rokhlin property for actions of compact quantum groups (joint with S. Barlak, G. Szabo), arXiv:1605.08600, J. Funct. Anal. 272 (2017), 2308-2360

[14] Equivariant Fredholm modules for the full quantum flag manifold of SU_q(3) (joint with R. Yuncken), arXiv:1412.3686, Doc. Math. 20 (2015), 433-490

[13] Compact quantum metric spaces from quantum groups of rapid decay (joint with J. Bhowmick, J. Zacharias), arXiv:1406.0771, J. Noncommut. Geom. 9 (2015), 1175-1200

[12] Cyclic cohomology and Baaj-Skandalis duality, arXiv:1397.2776, J. of K-theory 13 (2014), 115-145

[11] The K-theory of free quantum groups (joint with R. Vergnioux), arXiv:1112.3291, Math. Ann. 357 (2013), 355-400

[10] Quantum SU(2) and the Baum-Connes conjecture, arXiv:1212.2351, in Operator algebras and Quantum groups, Banach Center Publ. 98, Warsaw 2012

[9] The Baum-Connes conjecture for free orthogonal quantum groups, arXiv:0911.2999, Adv. Math. 227 (2011), 1873-1913

[8] Equivariant Poincare duality for quantum group actions (joint with R. Nest), arXiv:0902.3987, J. Funct. Anal. 258 (2010), 1466-1503

[7] Equivariant cyclic homology for quantum groups, arXiv:math/0601725, in K-theory and Noncommutative Geometry, EMS Ser. Cong. Rep., Eur. Math. Soc., 2008

[6] Chern character for totally disconnected groups, arXiv:math/0608626, Math. Ann. 343 (2009), 507-540

[5] A new description of equivariant cohomology for totally disconnected groups, arXiv:math/0412131, J. of K-theory 1 (2008), 431-472

[4] Bornological quantum groups, arXiv:math/0511195, Pacific J. Math. 235 (2008), 93-135

[3] Equivariant local cyclic homology and the equivariant Chern-Connes character, arXiv:math/0608609, Doc. Math. 12 (2007), 313-359

[2] Equivariant periodic cyclic homology, arXiv:math/0412021, J. Inst. Math. Jussieu 6 (2007), 689-763

[1] Equivariant cyclic homology, PhD thesis, 2003