Publications and preprints

  1. Remarks on Villadsen algebras (With G.A. Elliott and C.G. Li).
  2. Homomorphisms into a simple 𝒵-stable C*-algebras. II. (With G. Gong and H. Lin). J. of Noncommut. Geom., accepted.
  3. Stable rank of C(X)⋊Γ. (With Chun Guang Li)
  4. On the dynamical asymptotic dimension of a free ℤd-action on the Cantor set. (With Xiaokun Zhou)
  5. 𝒵-stability of C(X)⋊Γ. Transactions of the AMS, (2021), no. 10, 7525-7551.
  6. Comparison radius and mean topological dimension: ℤd-actions. Canad. J. Math. 2023, 1-27, http://dx.doi.org/10.4153/S0008414X2300038X
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. On the classification of simple unital C*-algebras with finite decomposition rank. II. (With George A. Elliott, G. Gong and H. Lin). Submitted.
  13. 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.
  14. 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.
  15. 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
  16. 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
  17. Decomposition rank of approximately subhomogeneous C*-algebras. (With George A. Elliott, L. Santiago, and A. Tikuisis). Forum Math. 32 (2020), no. 4, 827--889.
  18. The C*-algebra of a minimal homeomorphism of zero mean dimension. (With G. A. Elliott). Duke Math. J. 166 (2017), no. 18, 3569--3594.
  19. All irrational extended rotation algebras are AF-algebras. (With G. A. Elliott). Canad. J. Math. 67 (2015), no. 4, 810--826.
  20. 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.
  21. On the radius of comparison of a commutative C*-algebra. (With G. A. Elliott) Canad. Math. Bull. 56 (2013), no. 4, 737--744.
  22. Asymptotic unitary equivalence in C*-algebras. (With H. Lin) Russ. J. Math. Phys. 22 (2015), no. 3, 336--360.
  23. Homomorphisms into a simple 𝒵-stable C*-algebras. (With H. Lin) J. Operator Theory 71 (2014), no. 2, 517--569.
  24. Mean dimension and AH-algebras with diagonal maps. J. Funct. Anal., 266 (2014), no. 8, 4938--4994.
  25. 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.
  26. A classification of tracially approximately splitting interval algebras. II. Existence theorem. C. R. Math. Acad. Sci. Soc. R. Can., 37(1): 1--32, 2015.
  27. 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.
  28. Nuclearity and weak uniqueness. (With A. Ciuperca, T. Giordano, and P. W. Ng) Adv. Math., 240 (2013) 325--345.
  29. The C*-algebra of a partial isometry. (With B. Brenken) Proc. Amer. Math. Soc. 140 (2012), no. 1, 199--206.
  30. Extended rotation algebras: Adjoining spectral projections to rotation algebras. (With G. A. Elliott) J. Reine Angew. Math., 665 (2012), 1--71.
  31. The range of a class of classifiable separable simple amenable C*-algebras. (With H. Lin) J. Funct. Anal., 260 (2011), no. 1, 1--29.
  32. One-parameter continuous fields of Kirchberg algebras. II. (With M. Dadarlat and G. A. Elliott) Canad. J. Math., 63 (2011), no. 3, 500--532.
  33. Generators and relations for certain splitting tree algebras. J. Operator Theory, 61 (2009), no. 2, 101--115.
  34. 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.
  35. Lifting KK-elements, asymptotic unitary equivalence and classification of simple C*-algebras. (With H. Lin) Adv. Math., 219 (2008), 1729--1769.
  36. On tracial approximation. (With G. A. Elliott) J. Funct. Anal., 254 (2008), no. 2, 394--440
  37. On the classification of TAI algebras. C. R. Math. Acad. Sci. Soc. R. Can. 26 (2004), no. 1, 18--24.