C*-algebraic quantum Gromov-Hausdorff distance
Operator Algebras
2007-05-23 v2 Quantum Algebra
Abstract
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 fixes a weakness of Rieffel's quantum distance. We show that this new quantum distance has properties analogous to the basic properties of the classical Gromov-Hausdorff distance, and we give criteria for when a parameterized family of C*-algebraic compact quantum metric spaces is continuous with respect to this new distance.
Cite
@article{arxiv.math/0312003,
title = {C*-algebraic quantum Gromov-Hausdorff distance},
author = {Hanfeng Li},
journal= {arXiv preprint arXiv:math/0312003},
year = {2007}
}
Comments
27 pages. Small modifications