A groupoid approach to noncommutative T-duality

DOI10.1007/s00220-009-0767-7zbMath1179.22007arXiv0704.2592OpenAlexW2103836663MaRDI QIDQ842460

Calder Daenzer

Publication date: 25 September 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2592

zbMATH Keywords

T-dualitygroupoidMorita equivalencegerbenon-commutative spacegroupoid cohomology

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Topological groupoids (including differentiable and Lie groupoids) (22A22) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Locally compact groups and their algebras (22D99)

Related Items (4)

A horizontal categorification of Gel'fand duality ⋮ Index theory and topological phases of aperiodic lattices ⋮ Topological T-duality, automorphisms and classifying spaces ⋮ Twisted \(K\)-theory, \(K\)-homology, and bivariant Chern-Connes type character of some infinite dimensional spaces

Cites Work

• Differentiable stacks and gerbes
• Nonassociative tori and applications to \(T\)-duality
• A groupoid approach to C*-algebras
• Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes
• Mirror symmetry is \(T\)-duality
• \(T\)-duality for torus bundles with H-fluxed via noncommutative topology. II: The high dimensional case and the \(T\)-duality group
• THE TOPOLOGY OF T-DUALITY FOR Tⁿ-BUNDLES
• Non-commutative tori and Fourier–Mukai duality
• String Theory
• Dixmier-Douady Classes of Dynamical Systems and Crossed Products
• Cross Products of Strongly Morita Equivalent C ∗ -Algebras
• Mukai duality for gerbes with connection
• Torus fibrations, gerbes, and duality
• Loop spaces, characteristic classes and geometric quantization
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