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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 015, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.015 (Mi sigma1839) 		 
An Atiyah Sequence for Noncommutative Principal Bundles

Kay Schwiegera, Stefan Wagnerb

a iteratec GmbH, Zettachring 6, 70567 Stuttgart, Germany
b Blekinge Tekniska Högskola, SE-371 79 Karlskrona, Sweden
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DOI: https://doi.org/10.3842/SIGMA.2022.015
Abstract: We present a derivation-based Atiyah sequence for noncommutative principal bundles. Along the way we treat the problem of deciding when a given *-automorphism on the quantum base space lifts to a *-automorphism on the quantum total space that commutes with the underlying structure group.
Keywords: Atiyah sequence, noncommutative principal bundle, freeness, factor system.
Funding agency
We gratefully acknowledge the Centre International de Rencontres Mathématiques, REB 2177, as well as Blekinge Tekniska Högskola for supporting this research.
Received: July 26, 2021; in final form February 21, 2022
Bibliographic databases:
Document Type: Article
MSC: 46L87, 46L85, 55R10
Language: English
Citation: Kay Schwieger, Stefan Wagner, “An Atiyah Sequence for Noncommutative Principal Bundles”, SIGMA, 18 (2022), 015, 22 pp.
Citation in format AMSBIB
\Bibitem{SchWag22}
\by Kay~Schwieger, Stefan~Wagner
\paper An Atiyah Sequence for Noncommutative Principal Bundles
\jour SIGMA
\yr 2022
\vol 18
\papernumber 015
\totalpages 22
\mathnet{http://mi.mathnet.ru/sigma1839}
\crossref{https://doi.org/10.3842/SIGMA.2022.015}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4389584}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85130749511}
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