Gromov-Hausdorff Distance for Quantum Metric Spaces/Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance

• Author(s): Marc Aristide Rieffel,
• Publisher: American Mathematical Soc.
• Pages: 91
• ISBN_10: 0821835181
  ISBN_13: 9780821835180
  
• Language: en
• Categories: Mathematics / Algebra / General , Mathematics / Calculus , Mathematics / Geometry / Differential ,

Description:... By a quantum metric space we mean a $C DEGREES*$-algebra (or more generally an order-unit space) equipped with a generalization of the usual Lipschitz seminorm on functions which one associates to an ordinary metric. We develop for compact quantum metric spaces a version of Gromov-Hausdorff di