ON THE INDUCTIVE LIMIT STRUCTURE OF ORDER FOUR AUTOMORPHISMS OF THE IRRATIONAL ROTATION ALGEBRA

DOI10.1142/S0129167X06003370zbMath1096.46034MaRDI QIDQ3379441

Samuel G. Walters

Publication date: 6 April 2006

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(C^*\)-algebrainductive limit\(K\)-groupfinite order automorphismAF-algebrairrational rotation algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35) Automorphisms of selfadjoint operator algebras (46L40)

Related Items

Symmetries of simple \(A \mathbb{T}\)-algebras, Toroidal orbifolds of \(\mathbb{Z}_3\) and \(\mathbb{Z}_6\) symmetries of noncommutative tori, K-Theory of Non-Commutative Spheres Arising from the Fourier Automorphism

Cites Work

• Non-commutative spheres. III: Irrational rotations
• The structure of the irrational rotation \(C^*\)-algebra
• Inductive limit automorphisms of the irrational rotation algebra
• K-Theory of Non-Commutative Spheres Arising from the Fourier Automorphism
• NON-COMMUTATIVE SPHERES I
• Chern Characters of Fourier Modules
• Projective Modules over the Non-Commutative Sphere
• Cut-Down Method in the Inductive Limit Decomposition of Non-Commutative Tori