Induced cyclic cocycles and higher eta invariants

DOI10.1006/jfan.1996.3049zbMath0882.58050OpenAlexW2059782747MaRDI QIDQ1363569

Jerome Kaminker, Ronald G. Douglas

Publication date: 3 February 1998

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

Full work available at URL: https://doi.org/10.1006/jfan.1996.3049

zbMATH Keywords

K-theoryindex theoryhigher eta invariantscyclic cocyclesleafwise elliptic Dirac operator on a foliated manifold

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory and related fixed-point theorems on manifolds (58J20) Foliations in differential topology; geometric theory (57R30)

Related Items (1)

Higher spectral flow

Cites Work

• Quantum anomalies and cocycles on gauge groups
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• Equivariant KK-theory and the Novikov conjecture
• A bivariant Chern character for \(p\)-summable quasihomomorphisms
• Higher eta-invariants
• A bivariant Chern-Connes character
• Bivariant cyclic theory
• The index of operators on foliated bundles
• Index theory for skew-adjoint Fredholm operators
• Cyclic cocycles, renormalization and eta-invariants
• Finite propagation speed and Connes' foliation algebra
• Morphismes $K$-orientés d'espaces de feuilles et fonctorialité en théorie de Kasparov (d'après une conjecture d'A. Connes)
• A Bivariant Chern Character, II
• Spectral asymmetry and Riemannian geometry. II
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