Preprints

• C. Bruce, X. Li, and T. Takeishi, Boundary actions of outer automorphism groups of Thompson-like groups, arXiv:2512.14324.

• C. Bruce, Y. Kubota, and T. Takeishi, Groupoid homology and K-theory for algebraic actions from number theory, arXiv:2407.01952.

Research articles

• K.A. Brix, C. Bruce, K. Li, and E. Scarparo, Maximal ideals of reduced group C*-algebras and Thompson's groups, Transactions of the American Mathematical Society, Published electronically on Feb 6, 2026. arXiv version.

• 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, Advances in Mathematics 493 (2026), Paper No. 110921, 39 pp. arXiv version. 

• 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, Compositio Mathematica (to appear). arXiv version.

• C. Bruce and T. Takeishi, On the C*-algebra associated with the full adele ring of a number field, Journal of Noncommutative Geometry 19 (2025), no. 2, pp. 383–399. arXiv version.

• 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 92 (2024), no. 2, 363–411. 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.