Dr Chris Bruce
- Marie Curie Fellow (School of Mathematics & Statistics)
https://orcid.org/0000-0002-5730-6452Publications
2024
Bruce, C. and Scarparo, E. (2024) A tracial characterization of Furstenberg's ×p,×q conjecture. Canadian Mathematical Bulletin = Bulletin canadien de mathématiques, 67(1), pp. 244-256. (doi: 10.4153/S0008439523000693)
Bruce, C. and Starling, C. (2024) Corrigendum to “A new uniqueness theorem for the tight c*-algebra of an inverse semigroup” [C. R. Math. Acad. Sci. Soc. R. Can. 44 (2022), no. 4, 88–112]. Comptes rendus mathématiques de l'Académie des sciences = Mathematical reports of the Academy of Science., 46(1), pp. 11-15.
Bruce, C. and Li, X. (2024) Algebraic actions I. C*-algebras and groupoids. Journal of Functional Analysis, 286(4), 110263. (doi: 10.1016/j.jfa.2023.110263)
Bruce, C. and Takeishi, T. (2024) Constructing number field isomorphisms from *-isomorphisms of certain crossed product C*-algebras. Communications in Mathematical Physics, 405(1), 20. (doi: 10.1007/s00220-023-04927-y)
2023
Bruce, C. and Li, X. (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)
2022
Bruce, C. and Takeishi, T. (2022) C*-dynamical invariants and Toeplitz algebras of graphs. Journal of Operator Theory, (Accepted for Publication)
2021
Bruce, C. (2021) Phase transitions on C*-algebras from actions of congruence monoids on rings of algebraic integers. International Mathematics Research Notices, 2021(5), pp. 3653-3697. (doi: 10.1093/imrn/rnaa056)
Bruce, C. , Laca, M. and Takeishi, T. (2021) Partition functions as C*-dynamical invariants and actions of congruence monoids. Communications in Mathematical Physics, 382(2), pp. 1165-1203. (doi: 10.1007/s00220-020-03859-1)
2020
Bruce, C. (2020) C*-algebras from actions of congruence monoids on rings of algebraic integers. Transactions of the American Mathematical Society, 373(1), pp. 699-726. (doi: 10.1090/tran/7966)
2019
Bruce, C. , Laca, M., Ramagge, J. and Sims, A. (2019) Equilibrium states and growth of quasi-lattice ordered monoids. Proceedings of the American Mathematical Society, 147(6), pp. 2389-2404. (doi: 10.1090/proc/14108)
Articles
Bruce, C. and Scarparo, E. (2024) A tracial characterization of Furstenberg's ×p,×q conjecture. Canadian Mathematical Bulletin = Bulletin canadien de mathématiques, 67(1), pp. 244-256. (doi: 10.4153/S0008439523000693)
Bruce, C. and Starling, C. (2024) Corrigendum to “A new uniqueness theorem for the tight c*-algebra of an inverse semigroup” [C. R. Math. Acad. Sci. Soc. R. Can. 44 (2022), no. 4, 88–112]. Comptes rendus mathématiques de l'Académie des sciences = Mathematical reports of the Academy of Science., 46(1), pp. 11-15.
Bruce, C. and Li, X. (2024) Algebraic actions I. C*-algebras and groupoids. Journal of Functional Analysis, 286(4), 110263. (doi: 10.1016/j.jfa.2023.110263)
Bruce, C. and Takeishi, T. (2024) Constructing number field isomorphisms from *-isomorphisms of certain crossed product C*-algebras. Communications in Mathematical Physics, 405(1), 20. (doi: 10.1007/s00220-023-04927-y)
Bruce, C. and Li, X. (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)
Bruce, C. and Takeishi, T. (2022) C*-dynamical invariants and Toeplitz algebras of graphs. Journal of Operator Theory, (Accepted for Publication)
Bruce, C. (2021) Phase transitions on C*-algebras from actions of congruence monoids on rings of algebraic integers. International Mathematics Research Notices, 2021(5), pp. 3653-3697. (doi: 10.1093/imrn/rnaa056)
Bruce, C. , Laca, M. and Takeishi, T. (2021) Partition functions as C*-dynamical invariants and actions of congruence monoids. Communications in Mathematical Physics, 382(2), pp. 1165-1203. (doi: 10.1007/s00220-020-03859-1)
Bruce, C. (2020) C*-algebras from actions of congruence monoids on rings of algebraic integers. Transactions of the American Mathematical Society, 373(1), pp. 699-726. (doi: 10.1090/tran/7966)
Bruce, C. , Laca, M., Ramagge, J. and Sims, A. (2019) Equilibrium states and growth of quasi-lattice ordered monoids. Proceedings of the American Mathematical Society, 147(6), pp. 2389-2404. (doi: 10.1090/proc/14108)