Operator theory and operator algebras (I'm currently interested in operator theory in von Neumann algebras, generator problem, irreducible operator, reducible operators, reduction theory in von Neumann algebras, C*-representation in von Neumann algebras).
Bargmann invariants and local unitary equivalence,
with Minghui Ma, July 2026, DOI: 10.48550/arXiv.2607.16878
Kaplansky's second test problem in operator algebras,
with Chunlan Jiang, Minghui Ma, and Yuanhang Zhang. July 2026, DOI: 10.48550/arXiv.2607.20593
The similarity of irreducible operators in factors,
with Minghui Ma and Shanshan Yang, April 2026, DOI: 10.48550/arXiv.2604.21482
Operators with disconnected spectrum in von Neumann algebras,
with Minghui Ma and Tianze Wang, February 2026, DOI: 10.48550/arXiv.2602.01424
Products of irreducible operators in factors,
with Minghui Ma, Junhao Shen, and Tianze Wang. December 2025, DOI: 10.48550/arXiv.2512.12162
Irreducible operators in von Neumann algebras,
with Sukitha Adappa, Minghui Ma, Junhao Shen, and Shanshan Yang. Proc. Amer. Math. Soc. Online, July (2026), doi.org/10.1090/proc/17815
Reducible operators in non-Gamma type II1 factors,
with Junhao Shen. Math. Ann. 394 (2026), no. 2, Paper No. 31, 38 pp. MR5031607
Approximate equivalence of representations of AH algebras into semifinite von Neumann factors,
with Junhao Shen. J. Noncommut. Geom. 18 (2024), no. 4, 1315–1348. MR4793456
Normed ideal perturbation of irreducible operators in semifinite von Neumann factors,
Integral Equations Operator Theory 93 (2021), no. 3, Paper No. 34, 25 pp. MR4270806
On a composition of subfactors with group subfactors,
with Xiaoyu Hu and Feng Xu. Sci. China Math. 64 (2021), no. 2, 373–384. MR4211133
A generalization of Voiculescu's theorem for normal operators to semifinite von Neumann algebras,
with Qihui Li and Junhao Shen. Adv. Math. 375 (2020), 107347, 55 pp. MR4135419
Sum of irreducible operators in von Neumann factors,
with Junhao Shen. Proc. Amer. Math. Soc. 148 (2020), no. 7, 2901–2908. MR4099778
On irreducible operators in factor von Neumann algebras,
with Shilin Wen and Junsheng Fang. Linear Algebra Appl. 565 (2019), 239–243. MR3892720
A note on representations of commutative C*-algebras in semifinite von Neumann algebras,
with Don Hadwin. Oper. Matrices 12 (2018), no. 4, 1129–1144. MR3890754
Perturbations of self-adjoint operators in semifinite von Neumann algebras: Kato-Rosenblum theorem,
with Qihui Li, Junhao, and Liguang Wang. J. Funct. Anal. 275 (2018), no. 2, 259–287. MR3802483
On a class of operators in the hyperfinite II1 factor,
with Zhangsheng Zhu and Junsheng Fang. Math. Scand. 120 (2017), no. 2, 249–271. MR3657415
On the uniqueness of Jordan canonical form decompositions of operators by K-theoretical data,
with Chunlan Jiang. Canad. Math. Bull. 59 (2016), no. 2, 326–339. MR3492644
Stability of isometries between groups of invertible elements in Banach algebras,
with Yunbai Dong. Funct. Anal. Appl. 49 (2015), no. 2, 106–109. MR3374901
A reduction theory for operators in type In von Neumann algebras,
Houston J. Math. 40 (2014), no. 4, 1183–1224. MR3298746
Similarity of multiplication operators on the Sobolev disk algebra,
with Kui Ji. Acta Math. Sin. (Engl. Ser.) 29 (2013), no. 4, 789–800. MR3029290
On a generalization of the Jordan canonical form theorem on separable Hilbert spaces,
Proc. Amer. Math. Soc. 140 (2012), no. 5, 1593–160. MR2869143
Direct integrals of strongly irreducible operators,
with Chunlan Jiang. J. Ramanujan Math. Soc. 26 (2011), no. 2, 165–180. MR2816786
[TBA]