Projective Modules Over Quantum Projective Line

DOI10.1142/S0129167X17500227zbMath1377.46049arXiv1605.01968MaRDI QIDQ2988754

Albert Jeu-Liang Sheu

Publication date: 19 May 2017

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

Full work available at URL: https://arxiv.org/abs/1605.01968

zbMATH Keywords

projective modules\(K\)-groupsgroupoid \(C^\ast\)-algebrasquantum line bundlesmultipullback quantum spheresquantum complex projective line

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80)

Related Items (3)

The \(K\)-theory of twisted multipullback quantum odd spheres and complex projective spaces ⋮ Vector bundles over multipullback quantum complex projective spaces ⋮ Projections over quantum homogeneous odd-dimensional spheres

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finitely-generated projective modules over the \(\theta \)-deformed 4-sphere
• Quantum complex projective spaces from Toeplitz cubes
• Compact quantum groups and groupoid \(C^*\)-algebras
• Toeplitz operators on pseudoconvex domains and foliation \(C^*\)- algebras
• \(C^*\)-algebras of multiplication operators on Bergman spaces
• Compact matrix pseudogroups
• A groupoid approach to C*-algebras
• Chern numbers for two families of noncommutative Hopf fibrations
• The \(K\)-theory of twisted multipullback quantum odd spheres and complex projective spaces
• Quantum teardrops
• Projective quantum spaces
• Strong connections on quantum principal bundles
• The structure of line bundles over quantum teardrops
• The \(K\)-theory of Heegaard-type quantum 3-spheres
• Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere
• A Cancellation Theorem for Modules Over the Group C*-Algebras of Certain Nilpotent Lie Groups
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• The Cancellation Theorem for Projective Modules Over Irrational Rotation C*-Algebras
• Projective Modules over Higher-Dimensional Non-Commutative Tori
• Vector Bundles and Projective Modules
• C ∗ -Algebras of Multivariable Wiener-Hopf Operators

This page was built for publication: Projective Modules Over Quantum Projective Line