PARAMETRIZED STRICT DEFORMATION QUANTIZATION OF C*-BUNDLES AND HILBERT C*-MODULES

DOI10.1017/S1446788711001170zbMath1218.53093arXiv1007.4696OpenAlexW3104560351MaRDI QIDQ3011596

Varghese Mathai, Keith C. Hannabuss

Publication date: 29 June 2011

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

Full work available at URL: https://arxiv.org/abs/1007.4696

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Noncommutative differential geometry (46L87) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items

T-duality simplifies bulk-boundary correspondence: the noncommutative case, Nonassociative strict deformation quantization of \(C^*\)-algebras and nonassociative torus bundles, Topological $T$-duality for twisted tori, T-duality simplifies bulk-boundary correspondence: some higher dimensional cases, Continuity of Spectra in Rieffel’s Pseudodifferential Calculus, Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality

Cites Work

• Unnamed Item
• Rieffel deformation via crossed products
• Equivariant KK-theory and the Novikov conjecture
• An analogue of the Thom isomorphism for crossed products of a C* algebra by an action of R
• Crossed products by \(C_0(X)\)-actions
• An equivariant Brauer group and actions of groups on \(C^*\)-algebras
• \(T\)-duality for torus bundles with \(H\)-fluxes via noncommutative topology
• Induced representations of C\(^*\)-algebras
• \(T\)-duality for torus bundles with H-fluxed via noncommutative topology. II: The high dimensional case and the \(T\)-duality group
• QUANTIZATIONS ARISING FROM ABELIAN SUBGROUPS
• Principal non-commutative torus bundles