Open Access
2007 Locally Noncommutative Spacetimes
Jakob G. Heller, Nikolai Neumaier, Stefan Waldmann
J. Geom. Symmetry Phys. 10: 9-28 (2007). DOI: 10.7546/jgsp-10-2007-9-28


A rather new physically well-motivated notion of locally noncommutative spacetimes–a refinement of the notion noncommutative spacetimes–is reviewed and discussed. It is shown that the latter model can be realized in the framework of formal deformation quantization using star products as well as in the framework of Rieffel's strict deformation quantization. For the convergent setting Rieffel's former results for $C^*$-algebras are generalized to pro-$C^*$-algebras and applied to actions well-suited to the idea of locally noncommutative spacetimes.


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Jakob G. Heller. Nikolai Neumaier. Stefan Waldmann. "Locally Noncommutative Spacetimes." J. Geom. Symmetry Phys. 10 9 - 28, 2007.


Published: 2007
First available in Project Euclid: 20 May 2017

zbMATH: 1137.53350
MathSciNet: MR2380047
Digital Object Identifier: 10.7546/jgsp-10-2007-9-28

Rights: Copyright © 2007 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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