A noncommutative view on topology and order

DOI10.1016/j.geomphys.2009.03.009zbMath1178.58003arXiv0804.3551OpenAlexW2051014554MaRDI QIDQ1029479

Fabien Besnard

Publication date: 10 July 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3551

zbMATH Keywords

causal setnoncommutative topologynoncommutative ordered space

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Noncommutative topology (46L85) Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (14)

Temporal Lorentzian spectral triples ⋮ Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics ⋮ Families of spectral triples and foliations of space(time) ⋮ Causality for nonlocal phenomena ⋮ An approximation theorem for non-decreasing functions on compact posets ⋮ Quantum causality in κ-Minkowski and related constraints ⋮ The disappearance of causality at small scale in almost-commutative manifolds ⋮ Metrics and causality on Moyal planes ⋮ Generally covariant \(N\)-particle dynamics ⋮ Causality in noncommutative two-sheeted space-times ⋮ Single extra dimension from \(\kappa\)-Poincaré and gauge invariance ⋮ Noncommutative Geometry and the Physics of the LHC Era ⋮ Causality theory for closed cone structures with applications ⋮ Quantum causality constraints on kappa-Minkowski space-time

Cites Work

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• ASPECTS OF NONCOMMUTATIVE LORENTZIAN GEOMETRY FOR GLOBALLY HYPERBOLIC SPACETIMES
• Order in Operator Algebras
• Order Properties of Bounded Self-Adjoint Operators

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