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LOCALLY NONCOMMUTATIVE SPACE-TIMES

Department für Mathematik, Universität Hamburg, Bundesstr. 55, D-20253 Hamburg, Germany

and

Fakultät für Mathematik und Physik, Albert-Ludwigs-Universität Freiburg, Physikalisches Institut, Hermann-Herder-Straße 3, D 79104 Freiburg, Germany

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https://doi.org/10.1142/S0129055X0700295XCited by:8 (Source: Crossref)

Abstract

Localized noncommutative structures for manifolds with connection are constructed based on the use of vertical star products. The model's main feature is that two points that are far away from each other will not be subjected to a deviation from classical geometry while space-time becomes noncommutative for pairs of points that are close to one another.

Keywords:

AMSC: 53D55, 81R60

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