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Lifting spectral triples to noncommutative principal bundles
iteratec GmbH, DEU.ORCID iD: 0000-0002-2839-2590
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.ORCID iD: 0000-0002-2839-2590
2022 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 396, article id 108160Article in journal (Refereed) Published
Abstract [en]

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 A^G, we present a systematic and in-depth construction of a spectral triple on A that is build upon the geometry of A^G and G. We compare our construction with a selection of established examples. 

Place, publisher, year, edition, pages
Elsevier, 2022. Vol. 396, article id 108160
Keywords [en]
Noncommutative principal bundle, Factor system, Spectral triple
National Category
Algebra and Logic Geometry
Research subject
Mathematics and applications
Identifiers
URN: urn:nbn:se:bth-22529DOI: 10.1016/j.aim.2021.108160ISI: 000793160800002Scopus ID: 2-s2.0-85122286702OAI: oai:DiVA.org:bth-22529DiVA, id: diva2:1625055
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open access

Available from: 2022-01-05 Created: 2022-01-05 Last updated: 2022-06-03Bibliographically approved

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fulltext(656 kB)95 downloads
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Wagner, Stefan

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