The Chern character of semifinite spectral triples

DOI10.4171/JNCG/18zbMath1157.46045arXivmath/0611227MaRDI QIDQ933190

John Phillips, Adam Rennie, Alan L. Carey, Pheodor A. Sukochev

Publication date: 21 July 2008

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

Full work available at URL: https://arxiv.org/abs/math/0611227

zbMATH Keywords

spectral flowcyclic cohomologyChern charactersemifinite von Neumann algebraFredholm module

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative geometry (à la Connes) (58B34) Index theory (19K56)

Related Items

Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem, Generalized Connes–Chern characters inKK-theory with an application to weak invariants of topological insulators, Equivariant \(KK\)-theory for non-Hausdorff groupoids, The resolvent cocycle in twisted cyclic cohomology and a local index formula for the Podleś sphere, Integral Formula for Spectral Flow for -Summable Operators, The local index formula in semifinite von Neumann algebras. II: the even case, Untwisting twisted spectral triples, Index theory for locally compact noncommutative geometries, Index pairings for \(\mathbb{R}^n\)-actions and Rieffel deformations, The Godbillon-Vey invariant and equivariant \(KK\)-theory

Cites Work

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• Fredholm theories in von Neumann algebras. I
• Fredholm theories in von Neumann algebras. II
• Type II non-commutative geometry. I: Dixmier trace in von Neumann algebras