Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere.
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Displaying 1 – 4 of 4
Quantum gravity: unification of principles and interactions, and promises of spectral geometry.
Booss-Bavnbek, Bernhelm, Esposito, Giampiero, Lesch, Matthias (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Quantum isometry group for spectral triples with real structure.
Goswami, Debashish (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Quantum ultrametrics on AF algebras and the Gromov-Hausdorff propinquity
Konrad Aguilar, Frédéric Latrémolière (2015)
Studia Mathematica
We construct quantum metric structures on unital AF algebras with a faithful tracial state, and prove that for such metrics, AF algebras are limits of their defining inductive sequences of finite-dimensional C*-algebras for the quantum propinquity. We then study the geometry, for the quantum propinquity, of three natural classes of AF algebras equipped with our quantum metrics: the UHF algebras, the Effrös-Shen AF algebras associated with continued fraction expansions of irrationals, and the Cantor...
Currently displaying 1 – 4 of 4
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