Crossed product extensions of spectral triples

DOI10.4171/JNCG/229zbMath1348.46070arXiv1406.4642OpenAlexW2963435121MaRDI QIDQ283231

Bruno Iochum, Thierry Masson

Publication date: 13 May 2016

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4642

zbMATH Keywords

dynamical systemspectral dimensioncrossed productaffine and conformal groupsmodular operatorRiemannian spin manifoldtwisted spectral triple

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Noncommutative differential geometry (46L87) Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Noncommutative geometry (à la Connes) (58B34)

Related Items

An Atiyah sequence for noncommutative principal bundles, Spectral triples on irreversible C∗-dynamical systems, A note on twisted crossed products and spectral triples, Noncommutative geometry and conformal geometry: I. Local index formula and conformal invariants, Lifting spectral triples to noncommutative principal bundles, Dynamics of compact quantum metric spaces, On the Chern-Gauss-Bonnet theorem and conformally twisted spectral triples for \(C^*\)-dynamical systems

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