7 citations · 7 across the 2 of their papers we have counts for
5 papers · 1 filter
Compact Quantum Metric Spaces
Marc A. Rieffel
We give a brief survey of many of the high-lights of our present understanding of the young subject of quantum metric spaces, and of quantum Gromov-Hausdorff distance between them.…
Matrix algebras converge to the sphere for quantum Gromov--Hausdorff distance
Marc A. Rieffel
On looking at the literature associated with string theory one finds statements that a sequence of matrix algebras converges to the 2-sphere (or to other spaces). There is often ca…
Gromov-Hausdorff Distance for Quantum Metric Spaces
Marc A. Rieffel
By a quantum metric space we mean a C^*-algebra (or more generally an order-unit space) equipped with a generalization of the Lipschitz seminorm on functions which is defined by an…
Metrics on State Spaces
Marc A. Rieffel
In contrast to the usual Lipschitz seminorms associated to ordinary metrics on compact spaces, we show by examples that Lipschitz seminorms on possibly non-commutative compact spac…
Metrics on states from actions of compact groups
Marc A. Rieffel
Let a compact Lie group act ergodically on a unital -algebra . We consider several ways of using this structure to define metrics on the state space of . These ways invo…