Hanfeng Li

PhD

Hanfeng Li.

Hanfeng Li

PhD

Hanfeng Li

PhD

Research Interests

Operator algebras, noncommutative geometry, and dynamical systems.

Contact Information

104 Mathematics Building

UB North Campus

Buffalo NY, 14260-2900

Phone: (716) 645-8762

Fax: (716) 645-5039

hfli@buffalo.edu

Education

PhD, University of California at Berkeley

Research Summary

Operator algebras, noncommutative geometry, and dynamical systems.

Hanfeng Li’s main research interest is on noncommutative geometry and dynamical systems, especially connections between operator algebras and dynamical systems. His recent work concentrates on actions of countable sofic groups and algebraic actions of general countable (amenable) groups.

Selected Publications

H. Li and B. Liang, "Mean dimension, mean rank, and von Neumann-Lueck rank",  J. Reine Angew. Math. to appear.

N. Chung and H. Li, "Homoclinic groups, IE groups, and expansive algebraic actions", Invent. Math.  199 (2015), no. 3, 805--858.

H. Li and A. Thom, "Entropy, determinants, and L2-torsion", J. Amer. Math. Soc. 27 (2014), no. 1, 239--292.

H. Li, "Sofic mean dimension",  Adv. Math. 244 (2013), 570--604.

D. Kerr and H. Li, "Soficity, amenability, and dynamical entropy", Amer. J. Math. 135 (2013), no. 3, 721--761.

H. Li, "Compact group automorphisms, addition formulas and Fuglede-Kadison determinants". Ann. of Math. (2) 176 (2012), no. 1, 303--347.

D. Kerr and H. Li, "Entropy and the variational principle for actions of sofic groups", Invent. Math. 186 (2011), no. 3, 501--558.

G. A. Elliott and H. Li, "Morita equivalence of smooth noncommutative tori", Acta Math. 199 (2007), 1--27.

D. Kerr and H. Li, "Independence in topological and C*-dynamics ", Math. Ann. 338 (2007), no. 4, 869--926.

D. Kerr and H. Li, "Dynamical entropy in Banach spaces", Invent. Math. 162 (2005), no. 3, 649--686.

H. Li, "Strong Morita equivalence of higher-dimensional noncommutative tori", J. Reine Angew. Math. 576 (2004), 167--180.