Cut-down method in the inductive limit decomposition of non-commutative tori. III: A complete answer in 3-dimension

DOI10.1007/BF02100097zbMath0854.46057OpenAlexW2057000457MaRDI QIDQ1919255

Qing Lin

Publication date: 5 August 1996

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

Full work available at URL: https://doi.org/10.1007/bf02100097

zbMATH Keywords

\(K_ 0\)-groupcut-down methodinductive limit of direct sums of four circle algebrasmulti-dimensional continued fraction approximationsimple 3-torus

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Free probability and free operator algebras (46L54) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

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Strong Morita equivalence of higher-dimensional noncommutative tori, Morita equivalence of smooth noncommutative tori, Finitely generated nilpotent group \({C}^\ast\)-algebras have finite nuclear dimension, Stable rank of some noncommutative manifolds, Unbounded derivations in AT algebras, An introduction to 3D discrete magnetic Laplacians and noncommutative 3-tori, MORITA EQUIVALENCE OF MULTIDIMENSIONAL NONCOMMUTATIVE TORI

Cites Work

• C*-algebras associated with irrational rotations
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• The structure of the irrational rotation \(C^*\)-algebra
• On the classification of C*-algebras of real rank zero.
• The Cancellation Theorem for Projective Modules Over Irrational Rotation C*-Algebras
• Projective Modules over Higher-Dimensional Non-Commutative Tori
• Inductive Limits of Finite Dimensional C ∗ -Algebras
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