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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.

##### MSC:
 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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##### References:
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