Inductive limit automorphisms of the irrational rotation algebra

DOI10.1007/BF02099275zbMath0838.46054MaRDI QIDQ1907987

Samuel G. Walters

Publication date: 15 February 1996

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

zbMATH Keywords

fixed point subalgebrairrational rotation algebraapproximately finite-dimensionalflip automorphismalgebra of continuous functions on the unit circlecomplementary towers of projectionsdirect sum of two matrix algebrasinductive limit automorphisminductive limit of an increasing sequence of subalgebrasunbounded trace functionals

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Subfactors and their classification (46L37) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (5)

Toroidal orbifolds of \(\mathbb{Z}_3\) and \(\mathbb{Z}_6\) symmetries of noncommutative tori ⋮ When is the Cuntz-Krieger algebra of a higher-rank graph approximately finite-dimensional? ⋮ K-Theory of Non-Commutative Spheres Arising from the Fourier Automorphism ⋮ An action of the Klein four-group on the irrational rotation C*-algebra ⋮ ON THE INDUCTIVE LIMIT STRUCTURE OF ORDER FOUR AUTOMORPHISMS OF THE IRRATIONAL ROTATION ALGEBRA

Cites Work

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• C*-algebras associated with irrational rotations
• Reduction of real rank in inductive limits of \(C^*\)-algebras
• Non-commutative spheres. III: Irrational rotations
• The structure of the irrational rotation \(C^*\)-algebra
• Almost inductive limit automorphisms and embeddings into AF-algebras
• NON-COMMUTATIVE SPHERES I
• Crossed products of totally disconnected spaces by
• Projective Modules over the Non-Commutative Sphere

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