Adiabatic groupoid and secondary invariants in K-theory

DOI10.1016/j.aim.2019.03.003zbMath1419.22003arXiv1609.08015OpenAlexW2964331890MaRDI QIDQ1735492

Vito Felice Zenobi

Publication date: 28 March 2019

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

Full work available at URL: https://arxiv.org/abs/1609.08015

zbMATH Keywords

Lie groupoidsindex theoryadiabatic deformation groupoiddelocalized APS index theoremwrong-way functoriality

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Topological groupoids (including differentiable and Lie groupoids) (22A22) Index theory (19K56)

Related Items

Singular spaces, groupoids and metrics of positive scalar curvature ⋮ Topological \(K\)-theory for discrete groups and index theory ⋮ An equivariant PPV theorem and Paschke-Higson duality ⋮ A geometric approach to $K$-homology for Lie manifolds ⋮ Non-commutative geometry and cyclic homology. Abstracts from the workshop held July 31 -- August 6, 2022 ⋮ Interior Kasparov products for \(\varrho\)-classes on Riemannian foliated bundles ⋮ Positive scalar curvature due to the cokernel of the classifying map ⋮ Lie groupoids, pseudodifferential calculus, and index theory ⋮ The Higson-Roe sequence for étale groupoids. II: The universal sequence for equivariant families ⋮ The adiabatic groupoid and the Higson-Roe exact sequence

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