The structure of higher-dimensional noncommutative tori and metric diophantine approximation.

DOI10.1515/crll.1997.492.179zbMath0884.46040OpenAlexW105914679MaRDI QIDQ4365775

Publication date: 15 December 1997

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002215187

zbMATH Keywords

commutation relations rotation algebra AF-algebra antisymmetric matrix irrational rotation algebras universal \(C^*\)-algebra inductive limit of finite-dimensional algebras noncommutative \(N\)-torus ordered \(K_ 0\) groups symmetrized noncommutative torus

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Diophantine approximation in probabilistic number theory (11K60)

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