Index of elliptic operators for diffeomorphisms of manifolds

DOI10.4171/JNCG/168zbMath1320.58010arXiv1106.4195OpenAlexW1610614849MaRDI QIDQ470337

B. Yu. Sternin, A. Yu. Savin

Publication date: 12 November 2014

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

Full work available at URL: https://arxiv.org/abs/1106.4195

zbMATH Keywords

indexcrossed productcyclic cohomologyTodd classHaefliger cohomologynoncommutative elliptic theory

Mathematics Subject Classification ID

Noncommutative topology (46L85) Elliptic equations on manifolds, general theory (58J05) Index theory and related fixed-point theorems on manifolds (58J20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Index theory (19K56)

Related Items

Elliptic \(G\)-operators on manifolds with isolated singularities, C* Algebras Generated by Dynamical Systems and Nonlocal ψDO, Index of differential-difference operators on an infinite cylinder, An index formula for groups of isometric linear canonical transformations, Index of elliptic boundary value problems associated with isometric group actions, Periodic cyclic cocycles on the Boutet de Monvel symbol algebra, Elliptic \(\mathbb{Z}\)-operators associated with the metaplectic group, Elliptic boundary value problems associated with isometric group actions, Elliptic operators associated with groups of quantized canonical transformations, Traces of \(G\)-operators concentrated on submanifolds, Analytic and algebraic indices of elliptic operators associated with discrete groups of quantized canonical transformations

Cites Work

• Spectral asymmetry and Riemannian geometry. III
• ELLIPTIC PSEUDODIFFERENTIAL OPERATORS WITH A FINITE GROUP OF SHIFTS
• Riemann-Roch theorems for differentiable manifolds
• The index of elliptic operators on compact manifolds
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