Leibniz Seminorms for " Matrix Algebras Converge to the Sphere "

  title={Leibniz Seminorms for " Matrix Algebras Converge to the Sphere "},
  author={Marc Rieffel},
In an earlier paper of mine relating vector bundles and Gromov–Hausdorff distance for ordinary compact metric spaces, it was crucial that the Lipschitz seminorms from the metrics satisfy a strong Leibniz property. In the present paper, for the now noncommutative situation of matrix algebras converging to the sphere (or to other spaces) for quantum Gromov–Hausdorff distance, we show how to construct suitable seminorms that also satisfy the strong Leibniz property. This is in preparation for… CONTINUE READING
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