A C*-Algebraic Model for Locally Noncommutative Spacetimes
arXiv:math/0609850 · doi:10.1007/s11005-007-0163-1
Abstract
Locally noncommutative spacetimes provide a refined notion of noncommutative spacetimes where the noncommutativity is present only for small distances. Here we discuss a non-perturbative approach based on Rieffel's strict deformation quantization. To this end, we extend the usual C*-algebraic results to a pro-C*-algebraic framework.
13 pages, LaTeX 2e, no figures
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Cited by in corpus (6)
- Generalized Kahler and hyper-Kahler quotients
- Quantized anti de Sitter spaces and non-formal deformation quantizations of symplectic symmetric spaces
- Linear hyperbolic PDEs with non-commutative time
- Noncommutative field theories from a deformation point of view
- H-äquivariante Morita-Äquivalenz und Deformationsquantisierung
- A Deformation Quantization for Non-Flat Spacetimes and Applications to QFT