\(K\)-theory, cyclic cohomology and pairings for quantum Heisenberg manifolds

DOI10.4171/JNCG/118zbMath1278.46057arXiv1011.6287OpenAlexW2963057073MaRDI QIDQ355355

Olivier Gabriel

Publication date: 24 July 2013

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.6287

zbMATH Keywords

Heisenberg group\(K\)-theorycyclic cohomologyPimsner algebraChern-Connes pairingsgeneralized crossed productquantum Heisenberg manifolds

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (19K99) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (2)

Yang-Mills connections on quantum Heisenberg manifolds ⋮ Quantum Heisenberg manifolds as twisted groupoid \(C^\ast\)-algebras

Cites Work

• Generalized fixed-point algebras of certain actions on crossed products
• "Vector bundles" over quantum Heisenberg manifolds
• The range of traces on quantum Heisenberg manifolds

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