Noncommutative solenoids and the Gromov-Hausdorff propinquity

DOI10.1090/proc/13229zbMath1368.46067arXiv1601.02707OpenAlexW2963782343MaRDI QIDQ2964036

Frédéric Latrémolière, Judith A. Packer

Publication date: 22 February 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02707

zbMATH Keywords

quantum toriGromov-Hausdorff propinquitynoncommutative solenoids

Mathematics Subject Classification ID

Noncommutative topology (46L85)

Related Items (17)

Equivalence of quantum metrics with a common domain ⋮ Metrized quantum vector bundles over quantum tori built from Riemannian metrics and Rosenberg's Levi-Civita connections ⋮ 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 ⋮ Time-frequency analysis on the adeles over the rationals ⋮ Quantum (non-commutative) toric geometry: foundations ⋮ Convergence of spectral triples on fuzzy tori to spectral triples on quantum tori ⋮ INDUCTIVE LIMITS OF C*-ALGEBRAS AND COMPACT QUANTUM METRIC SPACES ⋮ A spectral triple for a solenoid based on the Sierpinski gasket ⋮ Spectral triples for noncommutative solenoidal spaces from self-coverings ⋮ The modular Gromov–Hausdorff propinquity ⋮ Convergence of Cauchy sequences for the covariant Gromov-Hausdorff propinquity ⋮ Duality of Gabor frames and Heisenberg modules ⋮ The dual modular Gromov-Hausdorff propinquity and completeness ⋮ Constructing equivalence bimodules between noncommutative solenoids: a two-pronged approach ⋮ Actions of categories by Lipschitz morphisms on limits for the Gromov-Hausdorff propinquity

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