The localized longitudinal index theorem for Lie groupoids and the Van Est map

DOI10.1016/j.aim.2014.11.007zbMath1408.58016arXiv1112.4857OpenAlexW2018606378MaRDI QIDQ481685

Xiang Tang, Hessel Posthuma, Markus J. Pflaum

Publication date: 12 December 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4857

zbMATH Keywords

Lie groupoidslocalized indexlongitudinal elliptic operatorsVan Est map

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) Pseudogroups and differentiable groupoids (58H05) Continuous cohomology of Lie groups (22E41)

Related Items (12)

Higher genera for proper actions of Lie groups. II: The case of manifolds with boundary ⋮ Measures on differentiable stacks ⋮ On the Hochschild homology of proper Lie groupoids ⋮ The Euler characteristic of a transitive Lie algebroid ⋮ Cohomologies of difference Lie groups and the van Est theorem ⋮ Lie groupoid deformations and convolution algebras ⋮ Lie theory and cohomology of relative Rota–Baxter operators ⋮ Higher genera for proper actions of Lie groups ⋮ Roe \(C^*\)-algebra for groupoids and generalized Lichnerowicz vanishing theorem for foliated manifolds ⋮ The index of geometric operators on Lie groupoids ⋮ Van Est differentiation and integration ⋮ Formality and Kontsevich-Duflo type theorems for Lie pairs

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