Curved noncommutative tori as Leibniz quantum compact metric spaces

DOI10.1063/1.4937444zbMath1346.14007arXiv1507.08771OpenAlexW1931281160WikidataQ123001994 ScholiaQ123001994MaRDI QIDQ3463267

Frédéric Latrémolière

Publication date: 12 January 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08771

zbMATH Keywords

\(C^*\)-algebranoncommutative torusregular representationcompact metric spaceLeibniz quantum space

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Noncommutative algebraic geometry (14A22) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Noncommutative geometry in quantum theory (81R60) Compact (locally compact) metric spaces (54E45)

Related Items (14)

Equivalence of quantum metrics with a common domain ⋮ Twisted reality condition for Dirac operators ⋮ Metrized quantum vector bundles over quantum tori built from Riemannian metrics and Rosenberg's Levi-Civita connections ⋮ The Gromov-Hausdorff propinquity for metric spectral triples ⋮ Convergence of inductive sequences of spectral triples for the spectral propinquity ⋮ Noncommutative solenoids and the Gromov-Hausdorff propinquity ⋮ Quantum Metric Spaces and the Gromov-Hausdorff Propinquity ⋮ Some applications of conditional expectations to convergence for the quantum Gromov–Hausdorff propinquity ⋮ Heisenberg Modules over Quantum 2-tori are Metrized Quantum Vector Bundles ⋮ Convergence of spectral triples on fuzzy tori to spectral triples on quantum tori ⋮ The modular Gromov–Hausdorff propinquity ⋮ Convergence of Cauchy sequences for the covariant Gromov-Hausdorff propinquity ⋮ The dual modular Gromov-Hausdorff propinquity and completeness ⋮ Actions of categories by Lipschitz morphisms on limits for the Gromov-Hausdorff propinquity

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