Projective Modules over the Non-Commutative Sphere

DOI10.1112/jlms/51.3.589zbMath0827.46057OpenAlexW2328013176MaRDI QIDQ4844771

Samuel G. Walters

Publication date: 17 December 1995

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/51.3.589

zbMATH Keywords

crossed productirrational rotation algebra\(K_ 0\)-groupflip automorphismnon-commutative spherecanonical unitary generatorsRieffel's cancellation techniques

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55)

Related Items (14)

Inductive limit automorphisms of the irrational rotation algebra ⋮ \(K\)-theory of noncommutative Bieberbach manifolds ⋮ Stability of rotation relations of three unitaries with the flip action in \(C^*\)-algebras ⋮ Stability of rotation relation of two unitaries with \(\mathbb{Z}_3, \mathbb{Z}_4\) and \(\mathbb{Z}_6\)-actions in \(C^*\)-algebras ⋮ Tracing projective modules over noncommutative orbifolds ⋮ Toroidal orbifolds of \(\mathbb{Z}_3\) and \(\mathbb{Z}_6\) symmetries of noncommutative tori ⋮ \(K\)-theory of equivariant quantization ⋮ K-Theory of Non-Commutative Spheres Arising from the Fourier Automorphism ⋮ An action of the Klein four-group on the irrational rotation C*-algebra ⋮ Stability of rotation relation of two unitaries with the flip action in \(C^\ast \)-algebras ⋮ Tracing cyclic homology pairings under twisting of graded algebras ⋮ Compactification of M(atrix) theory on noncommutative toroidal orbifolds. ⋮ Introduction to M(atrix) theory and noncommutative geometry ⋮ ON THE INDUCTIVE LIMIT STRUCTURE OF ORDER FOUR AUTOMORPHISMS OF THE IRRATIONAL ROTATION ALGEBRA

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