Higher spectral flow and an entire bivariant JLO cocycle

DOI10.1017/is012008031jkt193zbMath1276.58002arXiv1108.4528OpenAlexW2963460395MaRDI QIDQ4917186

Moulay Tahar Benameur, Alan L. Carey

Publication date: 29 April 2013

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4528

zbMATH Keywords

Dirac operatorChern-Connes characterJLO cocyclehigher spectral flowConnes's noncommutative geometrygraded operator trace

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative geometry (à la Connes) (58B34) Index theory (19K56) Spectral flows (58J30) Riemann-Roch theorems, Chern characters (19L10)

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The noncommutative infinitesimal equivariant index formula. II. ⋮ The noncommutative family Atiyah-Patodi-Singer index theorem ⋮ Conformal invariants of twisted Dirac operators and positive scalar curvature ⋮ Spectral sections, twisted rho invariants and positive scalar curvature ⋮ Geometric non-commutative geometry ⋮ The higher twisted index theorem for foliations

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