Hanfeng Li's Research

Papers and Preprints

[ps|pdf] Turbulence, representations, and trace-preserving actions (joint with David Kerr and Mikaël Pichot).

[ps|pdf] Combinatorial independence in measurable dynamics (joint with David Kerr).

[ps|pdf] C*-algebraic quantum Gromov-Hausdorff distance

[ps|pdf] Compact quantum metric spaces and ergodic actions of compact quantum groups

J. Funct. Anal. to appear.

[ps|pdf] On Gromov-Hausdorff convergence for operator metric spaces (joint with David Kerr).

J. Operator Theory to appear.

[ps|pdf] Strong Morita equivalence of higher-dimensional noncommutative tori. II (joint with George A. Elliott).

Math. Ann. 341 (2008), no. 4, 825--844.

[ps|pdf] Morita equivalence of smooth noncommutative tori (joint with George A. Elliott).

Acta Math. 199 (2007), 1--27.

[ps|pdf] Independence in topological and C*-dynamics (joint with David Kerr).

Math. Ann. 338 (2007), no. 4, 869--926.

[ps|pdf] Positive Voiculescu-Brown entropy in noncommutative toral automorphisms (joint with David Kerr).

Ergodic Theory Dynam. Systems 26 (2006), no. 6, 1855--1866.

[ps|pdf] Order-unit quantum Gromov-Hausdorff distance.

J. Funct. Anal. 231 (2006), no. 2, 312--360.

[ps|pdf] Dynamical entropy in Banach spaces (joint with David Kerr).

Invent. Math. 162 (2005), no. 3, 649--686.

[ps|pdf] Zeta functions of totally ramified p-covers of the projective line (joint with Hui June Zhu).

Rend. Sem. Mat. Univ. Padova 113 (2005), 203--225.

[ps|pdf] Strict quantizations of almost Poisson manifolds.

Comm. Math. Phys. 257 (2005), no. 2, 257--272.

[ps|pdf] Theta-deformations as compact quantum metric spaces.

Comm. Math. Phys. 256 (2005), no. 1, 213--238.

[ps|pdf] Flabby strict deformation quantizations and K-groups.

K-Theory 32 (2004), no. 4, 323--329.

[ps|pdf] Strong Morita equivalence of higher-dimensional noncommutative tori.

J. Reine Angew. Math. 576 (2004), 167--180.

[ps|pdf] Construction of some families of 2-dimensional crystalline representations (joint with Laurent Berger and Hui June Zhu).

Math. Ann. 329 (2004), no. 2, 365--377.

[ps|pdf] On embeddings of full amalgamated free product C*-algebras (joint with Scott Armstrong, Ken Dykema, and Ruy Exel).

Proc. Amer. Math. Soc. 132 (2004), no. 7, 2019--2030.

Notes

[ps|pdf] An Example where $dist_{GH}>dist_q$ (For a final version, see Appendix 1 of Rieffel's paper Gromov-Hausdorff Distance for Quantum Metric Spaces)

[ps|pdf] Comments on completely continuous operators and Fredholm determinants (Handout in Coleman's course The Eigencurve and the Fontaine-Mazur Conjecture)