School of Mathematics & Statistics

Belk, J., Bleak, C., Quick, M., Skipper, R. (2025) The Maximality of T in Thompson’s group V. Archiv der Mathematik,

Daws, M., Krajczok, J., Voigt, C. (2025) Averaging multipliers on locally compact quantum groups. Journal of the London Mathematical Society, 111, (doi: 10.1112/jlms.70104)

Belk, J., Matucci, F. (2025) Boone-Higman embeddings for contracting self-similar groups. Groups, Geometry, and Dynamics,

Lee, H., Voigt, C. (2024) Beurling-Fourier algebras of q-deformations of compact semisimple Lie groups and complexification. International Mathematics Research Notices,

Gonzalez-Perez, A., Parcet, J., Xia, R. (2024) Noncommutative Cotlar identities for groups acting on tree-like structures. arXiv, (doi: 10.48550/arXiv.2209.05298)

Belk, J., Elliott, L., Matucci, F. (2024) A short proof of Rubin’s theorem. Israel Journal of Mathematics, (doi: 10.1007/s11856-024-2700-3)

Li, X. (2024) Left regular representations of Garside categories II. Finiteness properties of topological full groups. Groups, Geometry, and Dynamics, (doi: 10.4171/GGD/847)

Li, X. (2024) Ample groupoids, topological full groups, algebraic K-theory spectra and infinite loop spaces. Forum of Mathematics, Pi,

Xia, R. (2024) Geometric Interpolations for Fourier Multipliers on Groups. (doi: 10.1007/978-3-031-57005-6_41)

Gerontogiannis, D. M., Whittaker, M. F., Zacharias, J. (2024) A geometric representative for the fundamental class in KK-duality of Smale spaces. Journal of Functional Analysis, 287, (doi: 10.1016/j.jfa.2024.110455)

Brownlowe, N., Buss, A., Goncalves, D., Hume, J. B., Sims, A., Whittaker, M. F. (2024) KK-duality for self-similar groupoid actions on graphs. Transactions of the American Mathematical Society, (doi: 10.1090/tran/9183)

Kakariadis, E. T.A., Katsoulis, E. G., Li, X. (2024) Stable isomorphisms of operator algebras. International Mathematics Research Notices, 2024, pp. 4118-4094. (doi: 10.1093/imrn/rnad146)

Bruce, C., Li, X. (2024) Algebraic actions I. C*-algebras and groupoids. Journal of Functional Analysis, 286, (doi: 10.1016/j.jfa.2023.110263)

Daws, M., Krajczok, J., Voigt, C. (2024) The approximation property for locally compact quantum groups. Advances in Mathematics, 438, (doi: 10.1016/j.aim.2023.109452)

Belk, J., Bleak, C., Quick, M., Skipper, R. (2024) Type systems and maximal subgroups of Thompson’s group V. Transactions of the American Mathematical Society,

Xia, R. (2023) Geometric interpretations for Fourier multipliers on groups acting on trees. Science China Mathematics, 53, (doi: 10.1360/SSM-2023-0105)

Li, X., Raad, A. I. (2023) Constructing C*-diagonals in AH-algebras. Transactions of the American Mathematical Society, (doi: 10.1090/tran/9023)

Kakariadis, E. T.A., Katsoulis, E. G., Laca, M., Li, X. (2023) Couniversality and controlled maps on product systems over right LCM semigroups. Analysis and PDE, 16, pp. 1433-1483. (doi: 10.2140/apde.2023.16.1433)

Watson, S. J. (2023) Navier-Stokes-Fourier system with phase transitions. Meccanica, 58, pp. 1163-1172. (doi: 10.1007/s11012-022-01620-7)

Wu, L., Xia, R., Zhou, D. (2023) Asymmetric Burkholder inequalities in noncommutative symmetric spaces. arXiv, (doi: 10.48550/arXiv.2201.05474)

Li, X. (2023) Left regular representations of Garside categories I. C*-algebras and groupoids. Glasgow Mathematical Journal, 65, pp. S53-S86. (doi: 10.1017/S0017089522000106)

Belk, J., Matucci, F. (2023) Conjugator length in Thompson’s groups. Bulletin of the London Mathematical Society, 55, pp. 793-810. (doi: 10.1112/blms.12757)

Skalski, A., Vergnioux, R., Voigt, C. (2023) Hecke algebras and the Schlichting completion for discrete quantum groups. Journal of the London Mathematical Society, 107, pp. 843-885. (doi: 10.1112/jlms.12701)

Voigt, C. (2023) Infinite quantum permutations. Advances in Mathematics, 415, (doi: 10.1016/j.aim.2023.108887)

Bruce, C., Li, X. (2023) On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids. American Journal of Mathematics, 145, pp. 251-285. (doi: 10.1353/ajm.2023.0005)

Chen, C., Li, X. (2023) Semigroup C*-algebras arising from graphs of monoids. International Mathematics Research Notices, (doi: 10.1093/imrn/rnac332)

Voigt, C., Yuncken, R. (2023) The Plancherel formula for complex semisimple quantum groups. Annales Scientifiques de l'École Normale Supérieure, 56, pp. 299-322. (doi: 10.24033/asens.2535)

Li, X. (2022) Constructing Menger manifold C*-diagonals in classifiable C*-algebras. International Mathematics Research Notices, 2022, pp. 18992-19053. (doi: 10.1093/imrn/rnab199)

Belk, J., Lanier, J., Margalit, D., Winarski, R. R. (2022) Recognizing topological polynomials by lifting trees. Duke Mathematical Journal, 171, pp. 3401-3480. (doi: 10.1215/00127094-2022-0043)

Voigt, C. (2022) On the assembly map for complex semisimple quantum groups. International Mathematics Research Notices, 2022, pp. 9603-9632. (doi: 10.1093/imrn/rnaa370)

Kakariadis, E. T.A., Katsoulis, E. G., Laca, M., Li, X. (2022) Boundary quotient C*-algebras of semigroups. Journal of the London Mathematical Society, 105, pp. 2136-2166. (doi: 10.1112/jlms.12557)

Dor-On, A., Kakariadis, E.T.A., Katsoulis, E., Laca, M., Li, X. (2022) C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems. Advances in Mathematics, 400, (doi: 10.1016/j.aim.2022.108286)

Li, X. (2022) K-theory for semigroup C*-algebras and partial crossed products. Communications in Mathematical Physics, 390, pp. 1-32. (doi: 10.1007/s00220-021-04194-9)

Belk, J., Hyde, J., Matucci, F. (2022) Embedding Q into a finitely presented group. Bulletin of the American Mathematical Society, 59, pp. 561-567. (doi: 10.1090/bull/1762)

Brannan, M., Eifler, K., Voigt, C., Weber, M. (2022) Quantum Cuntz-Krieger algebras. Transactions of the American Mathematical Society, 9, pp. 782-826. (doi: 10.1090/btran/88)

Belk, J., Zaremsky, M. C. B. (2022) Twisted Brin-Thompson groups. Geometry and Topology, 26, pp. 1189-1223. (doi: 10.2140/gt.2022.26.1189)

Walton, J. J., Whittaker, M. F. (2021) An aperiodic tile with edge-to-edge orientational matching rules. Journal of the Institute of Mathematics of Jussieu, (doi: 10.1017/S1474748021000517)

Li, X., Omland, T., Spielberg, J. (2021) C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type. Communications in Mathematical Physics, 381, pp. 1263-1308. (doi: 10.1007/s00220-020-03758-5)

Junge, M., Mei, T., Parcet, J., Xia, R. (2021) Algebraic Calderón-Zygmund theory. Advances in Mathematics, 376, (doi: 10.1016/j.aim.2020.107443)

Belk, J., Bleak, C., Matucci, F. (2021) Rational embeddings of hyperbolic groups. Journal of Combinatorial Algebra, 5, pp. 123-183. (doi: 10.4171/JCA/52)

Uuye, O., Zacharias, J. (2020) The Fubini product and its applications. Bulletin of the Malaysian Mathematical Sciences Society, 43, pp. 4041-4061. (doi: 10.1007/s40840-020-00909-8)

Antoun, J., Voigt, C. (2020) On bicolimits of C*-categories. Theory and Applications of Categories, 35, pp. 1683-1725.

Mampusti, M., Whittaker, M. F. (2020) An aperiodic monotile that forces nonperiodicity through dendrites. Bulletin of the London Mathematical Society, 52, pp. 942-959. (doi: 10.1112/blms.12375)

Barlak, S., Li, X. (2020) Cartan subalgebras and the UCT problem, II. Mathematische Annalen, 378, pp. 255-287. (doi: 10.1007/s00208-020-02022-4)

Easo, P., Garijo, E., Kaubrys, S., Nkansah, D., Vrabec, M., Watt, D., Wilson, C., Bönicke, C., Evington, S., Forough, M., Girón Pacheco, S., Seaton, N., White, S., Whittaker, M. F., Zacharias, J. (2020) The Cuntz-Toeplitz algebras have nuclear dimension one. Journal of Functional Analysis, 279, (doi: 10.1016/j.jfa.2020.108690)

Voigt, C., Yuncken, R. (2020) Complex Semisimple Quantum Groups and Representation Theory. Springer

Li, X. (2020) Every classifiable simple C*-algebra has a Cartan subalgebra. Inventiones Mathematicae, 219, pp. 653-699. (doi: 10.1007/s00222-019-00914-0)

Xia, R., Xiong, X. (2019) Mapping properties of operator-valued pseudo-differential operators. Journal of Functional Analysis, 277, pp. 2918-2980. (doi: 10.1016/j.jfa.2019.06.015)

Li, X. (2019) K-theory for generalized Lamplighter groups. Proceedings of the American Mathematical Society, 147, pp. 4371-4378. (doi: 10.1090/proc/14619)

Li, X., Renault, J. (2019) Cartan subalgebras in C*-algebras. Existence and uniqueness. Transactions of the American Mathematical Society, 372, pp. 1985-2010. (doi: 10.1090/tran/7654)

Bosa, J., Tornetta, G., Zacharias, J. (2019) A bivariant theory for the Cuntz semigroup. Journal of Functional Analysis, 277, pp. 1061-1111. (doi: 10.1016/j.jfa.2019.05.002)

Szabo, G., Wu, J., Zacharias, J. (2019) Rokhlin dimension for actions of residually finite groups. Ergodic Theory and Dynamical Systems, 39, pp. 2248-2304. (doi: 10.1017/etds.2017.113)

Cornelissen, G., Li, X., Marcolli, M., Smit, H. (2019) Reconstructing global fields from dynamics in the abelianized Galois group. Selecta Mathematica - New Series, 25, (doi: 10.1007/s00029-019-0469-8)

Cornelissen, G., de Smit, B., Li, X., Marcolli, M., Smit, H. (2019) Characterization of global fields by Dirichlet L-series. Research in Number Theory, 5, (doi: 10.1007/s40993-018-0143-9)

Monk, A., Voigt, C. (2019) Complex quantum groups and a deformation of the Baum-Connes assembly map. Transactions of the American Mathematical Society, 371, pp. 8849-8877. (doi: 10.1090/tran/7774)

Xia, R., Xiong, X. (2019) Operator-valued local Hardy spaces. Journal of Operator Theory, 82, pp. 383-443.

Deeley, R., Goffeng, M., Mesland, B., Whittaker, M. F. (2018) Wieler solenoids, Cuntz-Pimsner algebras and K-theory. Ergodic Theory and Dynamical Systems, 38, pp. 2942-2988. (doi: 10.1017/etds.2017.10)

Laca, M., Raeburn, I., Ramagge, J., Whittaker, M. F. (2018) Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs. Advances in Mathematics, 331, pp. 268-325. (doi: 10.1016/j.aim.2018.03.030)

Chu, C.-H., Li, X. (2018) Amenability, Reiter's condition and Liouville property. Journal of Functional Analysis, 274, pp. 3291-3324. (doi: 10.1016/j.jfa.2018.03.014)

Li, X. (2018) Continuous orbit equivalence rigidity. Ergodic Theory and Dynamical Systems, 38, pp. 1543-1563. (doi: 10.1017/etds.2016.98)

Bosa, J., Tornetta, G., Zacharias, J. (2018) Open projections and suprema in the Cuntz semigroup. Mathematical Proceedings of the Cambridge Philosophical Society, 164, pp. 135-146. (doi: 10.1017/S030500411600089X)

Cave, C., Zacharias, J. (2018) Kirchberg-Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case. Münster Journal of Mathematics, 11, pp. 217-224. (doi: 10.17879/87109577544)

Xia, R., Xiong, X. (2018) Operator-valued Triebel–Lizorkin spaces. Integral Equations and Operator Theory, 90, (doi: 10.1007/s00020-018-2491-1)

Voigt, C. (2017) On the structure of quantum automorphism groups. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 732, pp. 255-273. (doi: 10.1515/crelle-2014-0141)

(2017) K-Theory for Group C*-Algebras and Semigroup C*-Algebras. 47, (doi: 10.1007/978-3-319-59915-1)

Kaminker, J., Putnam, I. F., Whittaker, M. F. (2017) K-theoretic duality for hyperbolic dynamical systems. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2017, pp. 263-299. (doi: 10.1515/crelle-2014-0126)

Li, X. (2017) Partial transformation groupoids attached to graphs and semigroups. International Mathematics Research Notices, 2017, pp. 5233-5259. (doi: 10.1093/imrn/rnw166)

Barlak, S., Li, X. (2017) Cartan subalgebras and the UCT problem. Advances in Mathematics, 316, pp. 748-769. (doi: 10.1016/j.aim.2017.06.024)

Watson, S. J. (2017) Lorentzian symmetry predicts universality beyond scaling laws. Europhysics Letters, 118, (doi: 10.1209/0295-5075/118/56001)

Brownlowe, N., Pask, D., Ramagge, J., Robertson, D., Whittaker, M. (2017) Zappa-Szép product groupoids and C*-blends. Semigroup Forum, 94, pp. 500-519. (doi: 10.1007/s00233-016-9775-z)

Brownlowe, N., Carlsen, T. M., Whittaker, M. (2017) Graph algebras and orbit equivalence. Ergodic Theory and Dynamical Systems, 37, pp. 389-417. (doi: 10.1017/etds.2015.52)

Barlak, S., Szabo, G., Voigt, C. (2017) The spatial Rokhlin property for actions of compact quantum groups. Journal of Functional Analysis, 272, pp. 2308-2360. (doi: 10.1016/j.jfa.2016.09.023)

Hawkins, A., Zacharias, J. (2017) Spectral metric spaces on extensions of C*-algebras. Communications in Mathematical Physics, 350, pp. 475-506. (doi: 10.1007/s00220-016-2820-7)

Mampusti, M., Whittaker, M. F. (2017) Fractal spectral triples on Kellendonk's C*-algebra of a substitution tiling. Journal of Geometry and Physics, 112, pp. 224-239. (doi: 10.1016/j.geomphys.2016.11.010)

Deeley, R., Killough, D. B., Whittaker, M. (2016) Dynamical correspondences for Smale spaces. New York Journal of Mathematics, 22, pp. 943-988.

Deeley, R. J., Killough, D. B., Whittaker, M. F. (2016) Functorial properties of Putnam's homology theory for Smale spaces. Ergodic Theory and Dynamical Systems, 36, pp. 1411-1440. (doi: 10.1017/etds.2014.134)

Li, X. (2016) Semigroup C*-Algebras. (doi: 10.1007/978-3-319-39286-8_9)

Li, X. (2016) Semigroup C*-algebras of ax + b-semigroups. Transactions of the American Mathematical Society, 368, pp. 4417-4437. (doi: 10.1090/tran/6469)

Xia, R., Xiong, X., Xu, Q. (2016) Characterizations of operator-valued Hardy spaces and applications to harmonic analysis on quantum tori. Advances in Mathematics, 291, pp. 183-227. (doi: 10.1016/j.aim.2015.12.023)

Li, X. (2016) On K-theoretic invariants of semigroup C*-algebras attached to number fields, Part II. Advances in Mathematics, 291, pp. 1-11. (doi: 10.1016/j.aim.2015.12.024)

Li, X., Norling, M. D. (2016) Independent resolutions for totally disconnected dynamical systems. II. C*-algebraic case. Journal of Operator Theory, 75, pp. 163-193. (doi: 10.7900/jot.2014dec22.2061)

Frank, N. P., Webster, S. B.G., Whittaker, M. (2016) Fractal dual substitution tilings. Journal of Fractal Geometry, 3, pp. 265-317. (doi: 10.4171/JFG/37)

Eilers, S., Li, X., Ruiz, E. (2016) The isomorphism problem for semigroup C*-algebras of right-angled Artin monoids. Documenta Mathematica, 21, pp. 309-343.

Kumjian, A., Pask, D., Sims, A., Whittaker, M. F. (2016) Topological spaces associated to higher-rank graphs. Journal of Combinatorial Theory, Series A, 143, pp. 19-41. (doi: 10.1016/j.jcta.2016.04.005)