Toroidal orbifolds of \(\mathbb{Z}_3\) and \(\mathbb{Z}_6\) symmetries of noncommutative tori

DOI10.1016/j.nuclphysb.2015.03.008zbMath1328.81135OpenAlexW114369726MaRDI QIDQ902033

Samuel G. Walters

Publication date: 6 January 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2015.03.008

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Topology and geometry of orbifolds (57R18) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Matrix model and Yukawa couplings on the noncommutative torus ⋮ Stability of rotation relation of two unitaries with \(\mathbb{Z}_3, \mathbb{Z}_4\) and \(\mathbb{Z}_6\)-actions in \(C^*\)-algebras ⋮ Elliptic operators associated with groups of quantized canonical transformations ⋮ The K-inductive structure of the noncommutative Fourier transform ⋮ Local index formulae on noncommutative orbifolds and equivariant zeta functions for the affine metaplectic group

Cites Work

• Non-commutative spheres. III: Irrational rotations
• Elliptic algebras
• D-branes and \(K\)-theory
• Noncommutative geometry and matrix theory: Compactification on tori
• String theory and noncommutative geometry
• Inductive limit automorphisms of the irrational rotation algebra
• K-Theory of Non-Commutative Spheres Arising from the Fourier Automorphism
• Decomposable projections related to the Fourier and flip automorphisms
• ON THE INDUCTIVE LIMIT STRUCTURE OF ORDER FOUR AUTOMORPHISMS OF THE IRRATIONAL ROTATION ALGEBRA
• Projective Modules over Higher-Dimensional Non-Commutative Tori
• Quartic Algebras
• ON FOURIER ORTHOGONAL PROJECTIONS IN THE ROTATION ALGEBRA
• The AF structure of non commutative toroidal ℤ/4ℤ orbifolds
• Chern Characters of Fourier Modules
• Projective Modules over the Non-Commutative Sphere
• The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)
• Moduli spaces of maximally supersymmetric solutions on non-commutative tori and non-commutative orbifolds
• Compactification of M(atrix) theory on noncommutative toroidal orbifolds.
• Introduction to M(atrix) theory and noncommutative geometry
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