Modular spectral triples and deformed Fredholm modules

DOI10.1007/s43034-022-00200-wzbMath1497.58006arXiv2206.14762OpenAlexW4295066645MaRDI QIDQ2172852

Francesco Fidaleo, Fabio Ciolli

Publication date: 16 September 2022

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.14762

zbMATH Keywords

noncommutative geometrynoncommutative torusspectral triplesdiffeomorphisms of the circleFredholm modulestype III representationsone-dimensional topologyquasi-invariant ergodic measures

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Dynamical systems involving maps of the circle (37E10) (K)-theory and operator algebras (including cyclic theory) (46L80) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34) States of selfadjoint operator algebras (46L30) Quantizations, deformations for selfadjoint operator algebras (46L65) Dynamical systems and the theory of (C^*)-algebras (37A55) Classification of factors (46L36)

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