Lifting Spectral Triples to Noncommutative Principal Bundles

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2

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Oberwolfach Preprints (OWP)

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Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach

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Abstract

Given a free action of a compact Lie group G on a unital C*-algebra A and a spectral triple on the corresponding fixed point algebra AG, we present a systematic and in-depth construction of a spectral triple on A that is build upon the geometry of AG and G. We compare our construction with a selection of established examples.

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Keywords GND

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publishedVersion

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