The index of \(G\)-transversally elliptic families. I

DOI10.4171/JNCG/389zbMath1466.19007arXiv1803.11148MaRDI QIDQ2032780

Alexandre Baldare

Publication date: 14 June 2021

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

Full work available at URL: https://arxiv.org/abs/1803.11148

zbMATH Keywords

fibrationcompact group actions\(KK\)-theorycrossed product algebras\(K\)-homologytransversally elliptic operators

Mathematics Subject Classification ID

Kasparov theory ((KK)-theory) (19K35) Equivariant (K)-theory (19L47) Index theory (19K56)

Related Items (2)

A general Simonenko local principle and Fredholm condition for isotypical components ⋮ The index of \(G\)-transversally elliptic families. II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory
• Cyclic cohomology and the family Lefschetz theorem
• Fonctorialité en K-théorie bivariante pour les variétés lipschitziennes. (Functoriality in the bivariant K-theory for Lipschitz manifolds)
• The longitudinal index theorem for foliations
• Equivariant KK-theory and the Novikov conjecture
• Elliptic operators and compact groups
• Pseudodifferential operators on differential groupoids
• The index of transversally elliptic operators for locally free actions
• A longitudinal Lefschetz theorem in \(K\)-theory
• Pseudodifferential analysis on continuous family groupoids
• The equivariant analytic index for proper groupoid actions
• The Chern character of a transversally elliptic symbol and the equivariant index
• The equivariant index of transversally elliptic operators
• The index of \(G\)-transversally elliptic families. II
• The index of elliptic operators. I
• The index of elliptic operators. IV, V
• Fourier integral operators. I
• A higher Lefschetz formula for flat bundles
• Morphismes $K$-orientés d'espaces de feuilles et fonctorialité en théorie de Kasparov (d'après une conjecture d'A. Connes)
• Indice analytique et groupoïdes de Lie
• SPECTRAL INVARIANCE FOR CERTAIN ALGEBRAS OF PSEUDODIFFERENTIAL OPERATORS
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
• Bordism invariance in KK-theory

This page was built for publication: The index of \(G\)-transversally elliptic families. I