Hopf algebroids and secondary characteristic classes

DOI10.4171/JNCG/28zbMath1173.46054arXiv0711.3177OpenAlexW2963235041MaRDI QIDQ960529

Xiang Tang, Jerome Kaminker

Publication date: 22 December 2008

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

Full work available at URL: https://arxiv.org/abs/0711.3177

zbMATH Keywords

Riemannian foliationHopf algebroidcyclic cohomologyhomotopy invariancesecondary characteristic class

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10)

Related Items (4)

Hopf cyclic cohomology and Hodge theory for proper actions on complex manifolds ⋮ Hopf cyclic cohomology and Hodge theory for proper actions ⋮ \(K\)-theory of relative group \(C^*\)-algebras and the relative Novikov conjecture ⋮ Hopf cyclic cohomology for noncompact \(G\)-manifolds with boundary

Cites Work

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• Hopf algebras, renormalization and noncommutative geometry
• Hopf algebras, cyclic cohomology and the transverse index theorem
• Cyclic cohomology of etale groupoids
• Cyclic cohomology and Hopf algebra symmetry
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• The local index formula in noncommutative geometry
• Group cohomology with Lipschitz control and higher signatures

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