Professor Xin Li

Chair of Mathematical Analysis (Mathematics)

telephone: 4290
email: Xin.Li@glasgow.ac.uk

Research interests

I am working on C*-algebras and their connections to other mathematical disciplines such as topological dynamics, group theory or number theory. My research interests include semigroup C*-algebras, K-theory, Cartan subalgebras of C*-algebras, continuous orbit equivalence, and topological full groups. For more information, please see my personal website.

Research groups

Publications

List by: Type | Date

Jump to: 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010

Number of items: 45.

2024

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2024) Left regular representations of Garside categories II. Finiteness properties of topological full groups. Groups, Geometry, and Dynamics, (doi: 10.4171/GGD/847) (Early Online Publication)

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2024) Ample groupoids, topological full groups, algebraic K-theory spectra and infinite loop spaces. Forum of Mathematics, Pi, (Accepted for Publication)

Kakariadis, Evgenios T.A., Katsoulis, Elias G. and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2024) Stable isomorphisms of operator algebras. International Mathematics Research Notices, 2024(5), pp. 4118-4094. (doi: 10.1093/imrn/rnad146)

Bruce, Chris ORCID: https://orcid.org/0000-0002-5730-6452 and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2024) Algebraic actions I. C*-algebras and groupoids. Journal of Functional Analysis, 286(4), 110263. (doi: 10.1016/j.jfa.2023.110263)

2023

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 and Raad, Ali Imad (2023) Constructing C*-diagonals in AH-algebras. Transactions of the American Mathematical Society, (doi: 10.1090/tran/9023) (Early Online Publication)

Kakariadis, Evgenios T.A., Katsoulis, Elias G., Laca, Marcelo and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2023) Couniversality and controlled maps on product systems over right LCM semigroups. Analysis and PDE, 16(6), pp. 1433-1483. (doi: 10.2140/apde.2023.16.1433)

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2023) Left regular representations of Garside categories I. C*-algebras and groupoids. Glasgow Mathematical Journal, 65(S1), S53-S86. (doi: 10.1017/S0017089522000106)

Bruce, Chris ORCID: https://orcid.org/0000-0002-5730-6452 and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2023) On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids. American Journal of Mathematics, 145(1), pp. 251-285. (doi: 10.1353/ajm.2023.0005)

Chen, Cheng and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2023) Semigroup C*-algebras arising from graphs of monoids. International Mathematics Research Notices, (doi: 10.1093/imrn/rnac332) (Early Online Publication)

2022

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2022) Constructing Menger manifold C*-diagonals in classifiable C*-algebras. International Mathematics Research Notices, 2022(23), pp. 18992-19053. (doi: 10.1093/imrn/rnab199)

Kakariadis, Evgenios T.A., Katsoulis, Elias G., Laca, Marcelo and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2022) Boundary quotient C*-algebras of semigroups. Journal of the London Mathematical Society, 105(4), pp. 2136-2166. (doi: 10.1112/jlms.12557)

Dor-On, A., Kakariadis, E.T.A., Katsoulis, E., Laca, M. and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2022) C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems. Advances in Mathematics, 400, 108286. (doi: 10.1016/j.aim.2022.108286)

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2022) K-theory for semigroup C*-algebras and partial crossed products. Communications in Mathematical Physics, 390(1), pp. 1-32. (doi: 10.1007/s00220-021-04194-9)

2021

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742, Omland, Tron and Spielberg, Jack (2021) C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type. Communications in Mathematical Physics, 381(3), pp. 1263-1308. (doi: 10.1007/s00220-020-03758-5)

2020

Barlak, Selçuk and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2020) Cartan subalgebras and the UCT problem, II. Mathematische Annalen, 378(1-2), pp. 255-287. (doi: 10.1007/s00208-020-02022-4)

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2020) Every classifiable simple C*-algebra has a Cartan subalgebra. Inventiones Mathematicae, 219(2), pp. 653-699. (doi: 10.1007/s00222-019-00914-0)

2019

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2019) K-theory for generalized Lamplighter groups. Proceedings of the American Mathematical Society, 147(10), pp. 4371-4378. (doi: 10.1090/proc/14619)

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 and Renault, Jean (2019) Cartan subalgebras in C*-algebras. Existence and uniqueness. Transactions of the American Mathematical Society, 372(3), pp. 1985-2010. (doi: 10.1090/tran/7654)

Cornelissen, Gunther, Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742, Marcolli, Matilde and Smit, Harry (2019) Reconstructing global fields from dynamics in the abelianized Galois group. Selecta Mathematica - New Series, 25(2), 24. (doi: 10.1007/s00029-019-0469-8)

Cornelissen, Gunther, de Smit, Bart, Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742, Marcolli, Matilde and Smit, Harry (2019) Characterization of global fields by Dirichlet L-series. Research in Number Theory, 5(1), 7. (doi: 10.1007/s40993-018-0143-9)

2018

Chu, Cho-Ho and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2018) Amenability, Reiter's condition and Liouville property. Journal of Functional Analysis, 274(12), pp. 3291-3324. (doi: 10.1016/j.jfa.2018.03.014)

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2018) Continuous orbit equivalence rigidity. Ergodic Theory and Dynamical Systems, 38(4), pp. 1543-1563. (doi: 10.1017/etds.2016.98)

2017

Cuntz, Joachim, Echterhoff, Siegfried, Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 and Yu, Guoliang (Eds.) (2017) K-Theory for Group C*-Algebras and Semigroup C*-Algebras. Series: Oberwolfach seminars. Birkhäuser: Cham, Switzerland. ISBN 9783319599144

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2017) Partial transformation groupoids attached to graphs and semigroups. International Mathematics Research Notices, 2017(17), pp. 5233-5259. (doi: 10.1093/imrn/rnw166)

Barlak, Selçuk and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2017) Cartan subalgebras and the UCT problem. Advances in Mathematics, 316, pp. 748-769. (doi: 10.1016/j.aim.2017.06.024)

2016

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2016) Semigroup C*-Algebras. In: Abel Symposium 2015, Coastal Express (Hurtigruten), Norway, 07-11 Aug 2015, pp. 191-202. ISBN 9783319392844 (doi: 10.1007/978-3-319-39286-8_9)

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2016) Semigroup C*-algebras of ax + b-semigroups. Transactions of the American Mathematical Society, 368(6), pp. 4417-4437. (doi: 10.1090/tran/6469)

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (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, Xin ORCID: https://orcid.org/0000-0002-2243-3742 and Norling, Magnus D. (2016) Independent resolutions for totally disconnected dynamical systems. II. C*-algebraic case. Journal of Operator Theory, 75(1), pp. 163-193. (doi: 10.7900/jot.2014dec22.2061)

Eilers, Søren, Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 and Ruiz, Efren (2016) The isomorphism problem for semigroup C*-algebras of right-angled Artin monoids. Documenta Mathematica, 21, pp. 309-343.

2015

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2015) A new approach to recent constructions of C*-algebras from modular index theory. Journal of Functional Analysis, 269(3), pp. 841-864. (doi: 10.1016/j.jfa.2014.12.015)

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 and Norling, Magnus Dahler (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)

Cuntz, Joachim, Echterhoff, Siegfried and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (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(3), pp. 645-687. (doi: 10.4171/JEMS/513)

2014

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (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)

2013

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2013) Nuclearity of semigroup C*-algebras and the connection to amenability. Advances in Mathematics, 244, pp. 626-662. (doi: 10.1016/j.aim.2013.05.016)

Cuntz, Joachim, Echterhoff, Siegfried and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2013) On the k-Theory of crossed products by automorphic semigroup actions. Quarterly Journal of Mathematics, 64(3), pp. 747-784. (doi: 10.1093/qmath/hat021)

Larsen, Nadia S. and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2013) Dilations of semigroup crossed products as crossed products of dilations. Proceedings of the American Mathematical Society, 141(5), pp. 1597-1603. (doi: 10.1090/S0002-9939-2013-11475-9)

2012

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 and Lück, Wolfgang (2012) K-theory for ring c*-algebras: the case of number fields with higher roots of unity. Journal of Topology and Analysis, 4(4), pp. 449-479. (doi: 10.1142/S1793525312500203)

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2012) K-theory for ring C*-algebras attached to function fields with only one infinite place. Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 10(1), pp. 203-231. (doi: 10.1017/is011011023jkt177)

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2012) Semigroup C⁎-algebras and amenability of semigroups. Journal of Functional Analysis, 262(10), pp. 4302-4340. (doi: 10.1016/j.jfa.2012.02.020)

Larsen, Nadia S. and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2012) The 2-adic ring C*-algebra of the integers and its representations. Journal of Functional Analysis, 262(4), pp. 1392-1426. (doi: 10.1016/j.jfa.2011.11.008)

2011

Cuntz, Joachim and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2011) C*-algebras associated with integral domains and crossed products by actions on adele spaces. Journal of Noncommutative Geometry, 5(1), pp. 1-37. (doi: 10.4171/JNCG/68)

Cuntz, Joachim and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2011) K-theory for ring C-algebras attached to polynomial rings over finite fields. Journal of Noncommutative Geometry, 5(3), pp. 331-349. (doi: 10.4171/JNCG/78)

2010

Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2010) Ring C*-algebras. Mathematische Annalen, 348(4), pp. 859-898. (doi: 10.1007/s00208-010-0502-x)

Cuntz, Joachim and Li, Xin ORCID: https://orcid.org/0000-0002-2243-3742 (2010) The regular C*-algebra of an integral domain. In: Blanchard, Etienne, Ellwood, David, Khalkhali, Masoud, Marcolli, Matilde, Moscovici, Henri and Popa, Sorin (eds.) Quanta of Maths: Conference in Honor of Alain Connes, Non Commutative Geometry, Institut Henri Poincaré, Institut des Hautes Études Scientifiques, Institut de Mathématiques de Jussieu, Paris, France, March 29-April 6, 2007. Series: Clay mathematics proceedings (11). American Mathematical Society ; Clay Mathematics Institute: Providence, R.I ; Cambridge, MA, pp. 149-170. ISBN 9780821852033

This list was generated on Sun Jun 15 13:51:59 2025 BST.

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