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

Marc A. Rieffel




[PDF.bt26] Gromov-Hausdorff Distance for Quantum Metric Spaces/Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance

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 | #14202472 in Books |  2004-03-01 | Original language:English |  10.00 x7.00 x.25l,1.10 | File type: PDF | 91 pages

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By a quantum metric space we mean a $C^*$-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 distance. We show that the basic theorems of the classical theory have natural quantum analogues. Our main example involves the quantum tori, $A_\theta$. We show, for consistently defined 'm...

You can specify the type of files you want, for your device.Gromov-Hausdorff Distance for Quantum Metric Spaces/Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance   |  Marc A. Rieffel. I have read it a couple of times and even shared with my family members. Really good. Couldnt put it down.

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