A von Neumann Algebra Approach to Quantum Metrics/Quantum Relations
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Publication:5894504
DOI10.1090/S0065-9266-2011-00637-4zbMath1244.46037arXiv1005.0354OpenAlexW1505543555MaRDI QIDQ5894504
Publication date: 21 February 2012
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.0354
Related Items (21)
On construction of anticliques for noncommutative operator graphs ⋮ Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces ⋮ The quantum-to-classical graph homomorphism game ⋮ Quantum Cuntz-Krieger algebras ⋮ Random quantum graphs ⋮ Quantum teleportation in the commuting operator framework ⋮ Asymptotic dimension and coarse embeddings in the quantum setting ⋮ Quantum symmetries of quantum metric spaces and non-local games ⋮ Quantum collections ⋮ A “quantum” Ramsey theorem for operator systems ⋮ Discrete quantum structures. II: Examples ⋮ Spectral bounds for the quantum chromatic number of quantum graphs ⋮ Quantum edge correspondences and quantum Cuntz–Krieger algebras ⋮ Quantum Suplattices ⋮ Discrete quantum structures. I: Quantum predicate logic ⋮ The Morita theory of quantum graph isomorphisms ⋮ Connectivity for quantum graphs ⋮ Quantum graphs as quantum relations ⋮ HEREDITARILY ANTISYMMETRIC OPERATOR ALGEBRAS ⋮ Chromatic numbers, Sabidussi's theorem and Hedetniemi's conjecture for non-commutative graphs ⋮ Some examples of quantum graphs
Cites Work
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- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- Intrinsic metrics and Lipschitz functions
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- Lipschitz algebras and derivations of von Neumann algebras
- The general Stone-Weierstrass problem
- Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number
- Leibniz seminorms for "Matrix algebras converge to the sphere"
- Finite propagation speed and causal free quantum fields on networks
- Tensor Products of Operator Spaces II
- Gromov-Hausdorff distance for quantum metric spaces
- Theory of Quantum Error Correction for General Noise
- ON APPROXIMATION PROPERTIES FOR OPERATOR SPACES
- Nonatomic Lipschitz spaces
- Measurable metrics and Gaussian concentration
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- Riemannian geometry.
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