The fundamental group of the automorphism group of a noncommutative torus

DOI10.1007/BF02498782zbMath0971.46046OpenAlexW4234339716MaRDI QIDQ1591532

Chun-Gil Park, Deok-Hoon Boo

Publication date: 4 November 2001

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02498782

zbMATH Keywords

homogeneous \(C^*\)-algebrainductive limit of circle algebrascompletely irrational noncommutative toruslocally trivial \(C^*\)-algebra bundles

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative dynamical systems (46L55) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Classification of fiber spaces or bundles in algebraic topology (55R15)

Related Items (1)

Equivalence bimodule between spherical noncommutative tori

Cites Work

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• The classification of rotational rotation \(C^*\)-algebras
• On the classification of commutator ideals
• K-theory for certain C*-algebras
• \(C^*\)-algebras of real rank zero
• Approximately central matrix units and the structure of noncommutative tori
• Simple \(C^*\)-algebras generated by isometries
• The local structure of twisted covariance algebras
• The automorphism group of the irrational rotation \(C^*\)-algebra
• Multiplier representations of Abelian groups
• On the classification of C*-algebras of real rank zero.
• Inductive Limits of Homogeneous C^* -Algebras
• The structure of higher-dimensional noncommutative tori and metric diophantine approximation.
• Extensions of Inductive Limits of Circle Algebras

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