Noncommutative principal torus bundles via parametrised strict deformation quantization

zbMath1210.81062arXiv0911.1886MaRDI QIDQ3079684

Varghese Mathai, Keith C. Hannabuss

Publication date: 2 March 2011

Full work available at URL: https://arxiv.org/abs/0911.1886

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55)

Related Items (13)

An Atiyah sequence for noncommutative principal bundles ⋮ T-duality simplifies bulk-boundary correspondence: the noncommutative case ⋮ The noncommutative topology of anti-self-dual gauge fields ⋮ Deformation of operator algebras by Borel cocycles ⋮ Deformation of \(C^\ast\)-algebras by cocycles on locally compact quantum groups ⋮ Nonassociative strict deformation quantization of \(C^*\)-algebras and nonassociative torus bundles ⋮ Free actions of compact abelian groups on \(C^{\ast}\)-algebras. I. ⋮ Topological $T$-duality for twisted tori ⋮ T-duality simplifies bulk-boundary correspondence: some higher dimensional cases ⋮ Lifting spectral triples to noncommutative principal bundles ⋮ Continuity of Spectra in Rieffel’s Pseudodifferential Calculus ⋮ Noncommutative gauge theories on D-branes in non-geometric backgrounds ⋮ Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality

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