activity
20022005
most citedtheta-deformations as compact quantum metric spaces

23 citations · 48 across the 10 of their papers we have counts for

collaborators

10 papers

math.OA2005

Strong Morita equivalence of higher-dimensional noncommutative tori. II

George A. Elliott, Hanfeng Li

We show that two C*-algebraic noncommutative tori are strongly Morita equivalent if and only if they have isomorphic ordered K_0-groups and centers, extending N. C. Phillips's resu…

math.NT2003

Zeta functions of totally ramified p-covers of the projective line

Hanfeng Li, Hui June Zhu

In this paper we prove that there exists a Zariski dense open subset U defined over the rationals Q in the space of all one-variable rational functions with arbitrary k poles of pr…

math.OA200319 cited

C*-algebraic quantum Gromov-Hausdorff distance

Hanfeng Li

We introduce a new quantum Gromov-Hausdorff distance between C*-algebraic compact quantum metric spaces. Because it is able to distinguish algebraic structures, this new distance f…

math.OA2003

Order-unit quantum Gromov-Hausdorff distance

Hanfeng Li

We introduce a new distance dist_oq between compact quantum metric spaces. We show that dist_oq is Lipschitz equivalent to Rieffel's distance dist_q, and give criteria for when a p…

math.OA200323 cited

theta-deformations as compact quantum metric spaces

Hanfeng Li

Let M be a compact spin manifold with a smooth action of the n-torus. Connes and Landi constructed theta-deformations M_{theta} of M, parameterized by n by n real skew-symmetric ma…

math.DS2003

Positive topological entropy and

David Kerr, Hanfeng Li

We characterize positive topological entropy for quasi-state space homeomorphisms induced from -algebra automorphisms in terms of dynamically generated subspaces isomorphic to…