23 citations · 51 across the 12 of their papers we have counts for
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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…
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…
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…
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…
Positive Voiculescu-Brown entropy in noncommutative toral automorphisms
David Kerr, Hanfeng Li
We show that the Voiculescu-Brown entropy of a noncommutative toral automorphism arising from a matrix S in GL(d,Z) is at least half the value of the topological entropy of the cor…
Strong Morita equivalence of higher-dimensional noncommutative tori
Hanfeng Li
We show that matrices in the same orbit of the SO(n, n|Z) action on the space of n\times n skew-symmetric matrices give strong Morita equivalent noncommutative tori, both at the C*…