School of Mathematics & Statistics

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

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)

Belk, J., Elliott, L., Matucci, F. (2023) A short proof of Rubin’s theorem Israel Journal of Mathematics,

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

Kakariadis, E. T.A., Katsoulis, E. G., Li, X. (2023) Stable isomorphisms of operator algebras International Mathematics Research Notices,

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)

Kakariadis, E. T.A., Katsoulis, E. G., Laca, M., Li, X. (2021) Co-universality and controlled maps on product systems over right LCM-semigroups Analysis and PDE,

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)

Voigt, C., Yuncken, R. (2021) The Plancherel formula for complex semisimple quantum groups Annales Scientifiques de l'École Normale Supérieure,

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)

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)

Li, X. (2015) A new approach to recent constructions of C*-algebras from modular index theory Journal of Functional Analysis, 269, pp. 841-864. (doi: 10.1016/j.jfa.2014.12.015)

Hirshberg, I., Winter, W., Zacharias, J. (2015) Rokhlin dimension and C*-dynamics Communications in Mathematical Physics, 335, pp. 637-670. (doi: 10.1007/s00220-014-2264-x)

Li, X., Norling, M. D. (2015) Independent resolutions for totally disconnected dynamical systems I: algebraic case Journal of Algebra, 424, pp. 98-125. (doi: 10.1016/j.jalgebra.2014.10.043)

Bhowmick, J., Voigt, C., Zacharias, J. (2015) Compact quantum metric spaces from quantum groups of rapid decay Journal of Noncommutative Geometry, 9, pp. 1175-1200. (doi: 10.4171/JNCG/220)

Voigt, C., Yuncken, R. (2015) Equivariant Fredholm modules for the full quantum flag manifold of SUq(3) Documenta Mathematica, 20, pp. 433-490.

Cuntz, J., Echterhoff, S., Li, X. (2015) On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup Journal of the European Mathematical Society, 17, pp. 645-687. (doi: 10.4171/JEMS/513)

Li, X. (2014) On K-theoretic invariants of semigroup C*-algebras attached to number fields Advances in Mathematics, 264, pp. 371-395. (doi: 10.1016/j.aim.2014.07.014)

Frettlöh, D., Whitehead, B., Whittaker, M. (2014) Cohomology of the pinwheel tiling Journal of the Australian Mathematical Society, 97, pp. 162-179. (doi: 10.1017/S1446788714000275)

Laca, M., Raeburn, I., Ramagge, J., Whittaker, M. (2014) Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions Journal of Functional Analysis, 266, pp. 6619-6661. (doi: 10.1016/j.jfa.2014.03.003)

Brownlowe, N., Ramagge, J., Robertson, D., Whittaker, M. (2014) Zappa–Szép products of semigroups and their C*-algebras Journal of Functional Analysis, 266, pp. 3937-3967. (doi: 10.1016/j.jfa.2013.12.025)

Voigt, C. (2014) Cyclic cohomology and Baaj-Skandalis duality Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 13, pp. 115-145. (doi: 10.1017/is013012001jkt248)

Sims, A., Whitehead, B., Whittaker, M. (2014) Twisted C*-algebras associated to finitely aligned higher-rank graphs Documenta Mathematica, 19, pp. 831-866.