A von Neumann Algebra Approach to Quantum Metrics/Quantum Relations

DOI10.1090/S0065-9266-2011-00637-4zbMath1244.46035arXiv1005.0353OpenAlexW1505543555MaRDI QIDQ5894503

Greg Kuperberg, Nikolai Weaver

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/1005.0353

zbMATH Keywords

operator systemspectral triple\(C^*\)-metric\(W^*\)-filtrationnoncommutative topological space

Mathematics Subject Classification ID

Noncommutative topology (46L85)

Related Items (15)

Classification of quantum graphs on M2 and their quantum automorphism groups ⋮ Tolerance relations and quantization ⋮ Hölder classes via semigroups and Riesz transforms ⋮ Asymptotic dimension and coarse embeddings in the quantum setting ⋮ Quantum symmetries of quantum metric spaces and non-local games ⋮ Quantum collections ⋮ Discrete quantum structures. II: Examples ⋮ Discrete quantum structures. I: Quantum predicate logic ⋮ Algebraic Calderón-Zygmund theory ⋮ The Morita theory of quantum graph isomorphisms ⋮ Spectral geometry with a cut-off: topological and metric aspects ⋮ Connectivity for quantum graphs ⋮ Quantum graphs as quantum relations ⋮ HEREDITARILY ANTISYMMETRIC OPERATOR ALGEBRAS ⋮ A category of quantum posets

Cites Work

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• An introduction to Dirac operators on manifolds
• Continuous fields of \(C^*\)-algebras coming from group cocycles and actions
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Intrinsic metrics and Lipschitz functions
• Lipschitz algebras and derivations. II: Exterior differentiation
• 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
• Weak*-Closed Derivations from C[0,1 into L^∞[0,1]]
• Riemannian geometry.

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