An index theorem for gauge-invariant families: the case of solvable groups

DOI10.1023/A:1024517714643zbMath1026.19007arXivmath/0201196OpenAlexW1887692374MaRDI QIDQ1410064

Victor Nistor

Publication date: 14 October 2003

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201196

zbMATH Keywords

non-commutative geometry\(K\)-theorygroup actiongauge groupelliptic operatorfamily index

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Pseudodifferential and Fourier integral operators on manifolds (58J40) Index theory (19K56)

Related Items (15)

On Fredholm boundary conditions on manifolds with corners. I: Global corner cycles obstructions ⋮ Index of differential-difference operators on an infinite cylinder ⋮ Pseudodifferential operators on filtered manifolds as generalized fixed points ⋮ Pseudo-differential extension for graded nilpotent Lie groups ⋮ Generalized Fredholm properties for invariant pseudodifferential operators ⋮ On finiteness conditions in twisted \(K\)-theory ⋮ K-theory and index theory for some boundary groupoids ⋮ An index formula for perturbed Dirac operators on Lie manifolds ⋮ A topological index theorem for manifolds with corners ⋮ Lie groupoids, exact sequences, Connes-Thom elements, connecting maps and index maps ⋮ The Atiyah-Singer index formula for subelliptic operators on contact manifolds. I. ⋮ Geometric obstructions for Fredholm boundary conditions for manifolds with corners ⋮ An index for gauge-invariant operators and the Dixmier-Douady invariant ⋮ Elliptic operators on manifolds with singularities and \(K\)-homology ⋮ Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families

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