Research

My research is on C*-algebras, and in particular their finite-dimensional approximation properties and classification. I am particularly interested in their connections with topological dynamics.

Publications:

  1. (with A. Tikuisis) Almost finiteness, comparison, and tracial Z-stability. J. Funct. Anal., 2022. doi:10.1016/j.jfa.2021.109309 [arXiv]
  2. (with C. Bönicke, S. Chakraborty, and Z. He) A note on crossed products of rotation algebras. To appear in J. Operator Theory [arXiv:1905.12279]
  3. (with C. Bönicke, S. Chakraborty, and Z. He) Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of SL(2,Z). J. Funct. Anal. 275 (2018), no. 11, 3208–3243. [arXiv]
  4. (with K. Li) Classification of uniform Roe algebras of locally finite groups. J. Operator Theory 80 (2018), no. 1, 25–46. [arXiv]
  5. Rokhlin dimension of Z^m-actions on simple C*-algebras. Internat. J. Math. 28 (2017) no.7 [arXiv]
  6. A Rokhlin type theorem for simple C*-algebras of finite nuclear dimension.  J. Funct. Anal. 270 (2016), no. 10, 3675–3708.  [arXiv]

Preprints:

  1. (with K. Li and W. Winter) Diagonal Dimension for Sub-C*-algebras. Submitted