Papers.
C. Bruce, Y. Kubota, and T. Takeishi, Groupoid homology and K-theory for algebraic actions from number theory, arXiv version.
K.A. Brix, C. Bruce, K. Li, and E. Scarparo, Maximal ideals of reduced group C*-algebras and Thompson's groups, arXiv:2403.13645
C. Bruce and C. Starling, 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], Mathematical Reports - Comptes rendus mathématiques 46 (2024), no. 1, pp. 11–15. arXiv version.
K.A. Brix, C. Bruce, and A. Dor-On, Normal coactions extend to the C*-envelope, arXiv:2309.04817.
C. Bruce and E. Scarparo, A tracial characterization of Furstenberg's ×p,×q conjecture, Canadian Mathematical Bulletin 67 (2024), no. 1, 244–256. arXiv version.
C. Bruce and X. Li, Algebraic actions II. Groupoid rigidity, arXiv:2301.04459.
C. Bruce and T. Takeishi, On the C*-algebra associated with the full adele ring of a number field, arXiv:2209.10857.
C. Bruce and X. Li, Algebraic actions I. C*-algebras and groupoids, Journal of Functional Analysis 286 (2024), no. 4, Paper No. 110263, 57 pp. arXiv version.
C. Bruce and T. Takeishi, Constructing number field isomorphisms from *-isomorphisms of certain crossed product C*-algebras, Communications in Mathematical Physics 405 (2024), no. 1, Paper No. 20, 45 pp. arXiv version.
C. Bruce and T. Takeishi, C*-dynamical invariants and Toeplitz algebras of graphs, Journal of Operator Theory (to appear). arXiv version.
C. Bruce, M. Laca, and T. Takeishi, Partition functions as C*-dynamical invariants and actions of congruence monoids, Communications in Mathematical Physics 382 (2021), no. 2., 1165–1203. arXiv version.
C. Bruce and X. Li, On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids, American Journal of Mathematics 145 (2023), no. 1, 251–285. arXiv version.
C. Bruce, Phase transitions on C*-algebras from actions of congruence monoids on rings of algebraic integers, International Mathematics Research Notices (2021), no. 5, 3653–3697. arXiv version.
C. Bruce, C*-algebras from actions of congruence monoids on rings of algebraic integers, Transactions of the American Mathematical Society 373 (2020), no. 1, 699–726. arXiv version.
C. Bruce, M. Laca, J. Ramagge, and A. Sims, Equilibrium states and growth of quasi-lattice ordered monoids, Proceedings of the American Mathematical Society 147 (2019), no. 6, 2389–2404. arXiv version.