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C*-algebraic quantum Gromov-Hausdorff distance | | Hanfeng Li
; | | Date: |
29 Nov 2003 | | Subject: | Operator Algebras; Quantum Algebra MSC-class: Primary 46L87; Secondary 53C23, 58B34 | math.OA math.QA | | 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. | | Source: | arXiv, math.OA/0312003 | | Services: | Forum | Review | PDF | Favorites | |
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