Publications and preprints

  1. Remarks on Villadsen algebras, II: A generalized construction and the comparison radius function (With G.A. Elliott).
  2. On the small boundary property and 𝒵-absorption, II (With G.A. Elliott).
  3. On the small boundary property, 𝒵-absorption, and Bauer simplexes (With G.A. Elliott).
  4. Villadsen algebras are singly generated (With C.G. Li and V.M. Ruzicka).
  5. Remarks on Villadsen algebras (With G.A. Elliott and C.G. Li). J. Funct. Anal. 287 (2024) 110547.
  6. Homomorphisms into a simple 𝒵-stable C*-algebras. II. (With G. Gong and H. Lin). J. Noncommut. Geom. 19 (2025), no. 1, pp. 73--104.
  7. Stable rank of C(X)⋊Γ. (With Chun Guang Li)
  8. On the dynamical asymptotic dimension of a free ℤd-action on the Cantor set. (With Xiaokun Zhou)
  9. 𝒵-stability of C(X)⋊Γ. Transactions of the AMS, (2021), no. 10, 7525-7551.
  10. Comparison radius and mean topological dimension: ℤd-actions. Canadian Journal of Mathematics, Vol 76, Issue 4, 2024, 1240-1266.
  11. Comparison radius and mean topological dimension: Rokhlin property, comparison of open sets, and subhomogeneous C*-algebras. Journal d'Analyse Mathématique, 146 (2022), no. 2, 595-672.
  12. C*-algebras of a Cantor system with finitely many minimal subsets: structures, K-theories, and the index map. (With Sergey Bezuglyi, and Wei Sun). Ergodic Theory and Dynamical Systems, 41 (2021), no. 5, 1296-1341.
  13. A tracially AF algebra which is not 𝒵-stable. With an appendix by Caleb Eckhardt. (With Qingyun Wang). Münster Journal of Mathematics, 14 (2021), 41-57.
  14. The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension. (With G. A. Elliott, G. Gong and H. Lin). Journal of Geometry and Physics, 158 (2020), 103861, 51 pp.
  15. Simple stably projectionless C*-algebras with generalized tracial rank one. (With G. A. Elliott, G. Gong and H. Lin). J. of Noncommut. Geom. 14 (2020), no. 1, 251--347.
  16. On the classification of simple unital C*-algebras with finite decomposition rank. II. (With George A. Elliott, G. Gong and H. Lin). J. Noncommut. Geom. 19 (2025), no. 1, pp. 73--104.
  17. On the classification of simple unital C*-algebras with finite decomposition rank. (With George A. Elliott). In ``Operator Algebras and their Applications: A tribute to Richard V. Kadison", Contemporary Mathematics. Amer. Math. Soc., 2016, page 117--125.
  18. The classification of separable simple locally ASH algebras. (With George A. Elliott, G. Gong and H. Lin). J. Funct. Anal. 272 (2017), no. 12, 5307--5359.
  19. Classification of finite simple amenable 𝒵-stable C*-algebras, II. C*-algebras with rational generalized tracial rank one (With G. Gong and H. Lin). C. R. Math. Acad. Sci. Soc. R. Can. 42(4) 2020, 451--539
  20. Classification of finite simple amenable 𝒵-stable C*-algebras, I. C*-algebras with generalized tracial rank one (With G. Gong and H. Lin). C. R. Math. Acad. Sci. Soc. R. Can. 42(3) 2020, 63--450
  21. Decomposition rank of approximately subhomogeneous C*-algebras. (With George A. Elliott, L. Santiago, and A. Tikuisis). Forum Math. 32 (2020), no. 4, 827--889.
  22. The C*-algebra of a minimal homeomorphism of zero mean dimension. (With G. A. Elliott). Duke Math. J. 166 (2017), no. 18, 3569--3594.
  23. All irrational extended rotation algebras are AF-algebras. (With G. A. Elliott). Canad. J. Math. 67 (2015), no. 4, 810--826.
  24. Remarks on the Pimsner-Voiculescu embedding. (With G. A. Elliott) In: Operator Algebras and Dynamics, Springer Proceedings in Mathematics & Statistics, Vol. 58, pp 125--134, 2013.
  25. On the radius of comparison of a commutative C*-algebra. (With G. A. Elliott) Canad. Math. Bull. 56 (2013), no. 4, 737--744.
  26. Asymptotic unitary equivalence in C*-algebras. (With H. Lin) Russ. J. Math. Phys. 22 (2015), no. 3, 336--360.
  27. Homomorphisms into a simple 𝒵-stable C*-algebras. (With H. Lin) J. Operator Theory 71 (2014), no. 2, 517--569.
  28. Mean dimension and AH-algebras with diagonal maps. J. Funct. Anal., 266 (2014), no. 8, 4938--4994.
  29. A classification of tracially approximately splitting interval algebras. III. Uniqueness theorem and isomorphism theorem. C. R. Math. Acad. Sci. Soc. R. Can. 37(2) 41--75, 2015.
  30. A classification of tracially approximately splitting interval algebras. II. Existence theorem. C. R. Math. Acad. Sci. Soc. R. Can., 37(1): 1--32, 2015.
  31. A classification of tracially approximately splitting interval algebras. I. The building blocks and the limit algebras. C. R. Math. Acad. Sci. Soc. R. Can., 35(1):1--34, 2014.
  32. Nuclearity and weak uniqueness. (With A. Ciuperca, T. Giordano, and P. W. Ng) Adv. Math., 240 (2013) 325--345.
  33. The C*-algebra of a partial isometry. (With B. Brenken) Proc. Amer. Math. Soc. 140 (2012), no. 1, 199--206.
  34. Extended rotation algebras: Adjoining spectral projections to rotation algebras. (With G. A. Elliott) J. Reine Angew. Math., 665 (2012), 1--71.
  35. The range of a class of classifiable separable simple amenable C*-algebras. (With H. Lin) J. Funct. Anal., 260 (2011), no. 1, 1--29.
  36. One-parameter continuous fields of Kirchberg algebras. II. (With M. Dadarlat and G. A. Elliott) Canad. J. Math., 63 (2011), no. 3, 500--532.
  37. Generators and relations for certain splitting tree algebras. J. Operator Theory, 61 (2009), no. 2, 101--115.
  38. Simple unital C*-algebras with the stable locally finite dimensional property . (With P. W. Ng and E. Ruiz) J. Operator Theory, 61 (2009), no. 1, 147--169.
  39. Lifting KK-elements, asymptotic unitary equivalence and classification of simple C*-algebras. (With H. Lin) Adv. Math., 219 (2008), 1729--1769.
  40. On tracial approximation. (With G. A. Elliott) J. Funct. Anal., 254 (2008), no. 2, 394--440
  41. On the classification of TAI algebras. C. R. Math. Acad. Sci. Soc. R. Can. 26 (2004), no. 1, 18--24.