A von Neumann algebra approach to quantum metrics

@article{Kuperberg2010AVN,
  title={A von Neumann algebra approach to quantum metrics},
  author={Greg Kuperberg and Nik Weaver},
  journal={arXiv: Operator Algebras},
  year={2010}
}
We propose a new definition of quantum metric spaces, or W*-metric spaces, in the setting of von Neumann algebras. Our definition effectively reduces to the classical notion in the atomic abelian case, has both concrete and intrinsic characterizations, and admits a wide variety of tractable examples. A natural application and motivation of our theory is a mutual generalization of the standard models of classical and quantum error correction. 
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36 Citations
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36 Citations

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