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On globally non-trivial almost-commutative manifolds

Boeijink, Jord; Van Den Dungen, Koen


Within the framework of Connes' noncommutative geometry, we define and study globally non-trivial (or topologically non-trivial) almost-commutative manifolds. In particular, we focus on those almost-commutative manifolds that lead to a description of a (classical) gauge theory on the underlying base manifold. Such an almost-commutative manifold is described in terms of a 'principal module', which we build from a principal fibre bundle and a finite spectral triple. We also define the...[Show more]

CollectionsANU Research Publications
Date published: 2014-10-27
Type: Journal article
Source: Journal of Mathematical Physics
DOI: 10.1063/1.4898769


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