K-Theory of Non-Commutative Spheres Arising from the Fourier Automorphism

DOI10.4153/CJM-2001-026-xzbMath0973.46061MaRDI QIDQ2715686

Samuel G. Walters

Publication date: 20 May 2001

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

zbMATH Keywords

automorphism\(K\)-grouprotation \(C^*\)-algebra

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40) (K_0) as an ordered group, traces (19K14)

Related Items (7)

Smooth lattice orbits of nilpotent groups and strict comparison of projections ⋮ The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ) ⋮ \(K\)-theory of noncommutative Bieberbach manifolds ⋮ Toroidal orbifolds of \(\mathbb{Z}_3\) and \(\mathbb{Z}_6\) symmetries of noncommutative tori ⋮ Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of \(SL_2(\mathbb{Z})\) ⋮ ON THE INDUCTIVE LIMIT STRUCTURE OF ORDER FOUR AUTOMORPHISMS OF THE IRRATIONAL ROTATION ALGEBRA ⋮ The K-inductive structure of the noncommutative Fourier transform

Cites Work

• Non-commutative spheres. III: Irrational rotations
• Appendix to O. Bratteli's paper on Crossed products of UHF algebras
• Inductive limit automorphisms of the irrational rotation algebra
• ON THE INDUCTIVE LIMIT STRUCTURE OF ORDER FOUR AUTOMORPHISMS OF THE IRRATIONAL ROTATION ALGEBRA
• NON-COMMUTATIVE SPHERES I
• Quartic Algebras
• Chern Characters of Fourier Modules
• Projective Modules over the Non-Commutative Sphere
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