Research

Research Interests:

• Noncommutative Geometry

• Geometric Group Theory

• Operator Algebras

• Dynamical Systems

Publications and Preprints

1. J. Deng, R. Toyota, Non-geometric property (T) of warped cones, 2025, arXiv version  

2. J. Deng, L. Guo, Twisted Roe algebras and their K-theory, 2024, arXiv version 

3. J. Deng, L. Guo, Q. Wang, G. Yu, Higher index theory for spaces with an FCE-by-FCE structure, Journal of Functional Analysis, Volume 288, Issue 1, 1 January 2025, 110679, arXiv version 

4. J. Deng, L. Guo, Q. Wang, Y. Zhang,  Coarse embedding at inifinity and generalized expanders at infinity,  06.2022, submitted, arXiv version 

5. J. Deng, G. Tian, Z.  Xie, G. Yu,  K-theory of relative group C*-algebras and the relative Novikov conjecture, Math. Z. 306, 45 (2024). arXiv version 

6. J. Deng, B. Fu, Q. Wang,   The equivariant coarse Baum-Connes conjecture for metric spaces with proper group actions, Journal of Noncommutative Geometry, 18 (2024), no. 1, 61–92.,  arXiv version 

7. J. Deng, Q, Wang, G. Yu,  The coarse Baum-Connes conjecture for certain extensions and  relative expanders, Advances in Mathematics,  Volume 424, 1 July 2023, 109047 arXiv version 

8. J. Deng, The Novikov conjecture and extensions of coarsely embeddable groups, Journal of Noncommutative Geometry, 16 (2022), no. 1, pp. 265--310,  arXiv version 

9. J. Deng, Q. Wang, On maximal and reduced equivariant Roe algebras, Journal of Shanghai Second Polytech University, 1 (2014), page 67-72