A \(C^{*}\)-algebraic model for locally noncommutative spacetimes. (English) Zbl 1127.53075

Authors’ summary: Locally noncommutative space-times provide a refined notion of noncommutative space-times where the noncommutativity is present only for small distances. Here the authors discuss a non-perturbative approach based on Rieffel’s strict deformation quantization. To this end, the authors extend the usual \(C^{\ast}\)-algebraic results to a pro-\(C^{\ast}\)-algebraic framework.


53D55 Deformation quantization, star products
46L65 Quantizations, deformations for selfadjoint operator algebras
46L87 Noncommutative differential geometry
81R60 Noncommutative geometry in quantum theory
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