The Higson-Roe exact sequence and \(\ell^2\) eta invariants

DOI10.1016/j.jfa.2014.11.006zbMath1308.58012arXiv1409.2717OpenAlexW2963390602MaRDI QIDQ2254812

Indrava Roy, Moulay Tahar Benameur

Publication date: 6 February 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2717

zbMATH Keywords

operator algebraBaum-Connes conjecture\(\ell^2\) eta invariant

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Eta-invariants, Chern-Simons invariants (58J28) Index theory (19K56)

Related Items (13)

Singular spaces, groupoids and metrics of positive scalar curvature ⋮ Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. II: Relative \(\eta\)-invariants ⋮ An equivariant PPV theorem and Paschke-Higson duality ⋮ Relative torsion and bordism classes of positive scalar curvature metrics on manifolds with boundary ⋮ Leafwise homotopies and Hilbert-Poincaré complexes. I: Regular HP-complexes and leafwise pull-back maps ⋮ Lie groupoids, pseudodifferential calculus, and index theory ⋮ Adiabatic groupoid and secondary invariants in K-theory ⋮ The relative \(L^2\) index theorem for Galois coverings ⋮ Positive scalar curvature on spin pseudomanifolds: the fundamental group and secondary invariants ⋮ The Higson-Roe sequence for étale groupoids. II: The universal sequence for equivariant families ⋮ Eta and rho invariants on manifolds with edges ⋮ The Higson-Roe sequence for étale groupoids. I: Dual algebras and compatibility with the BC map

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