Eta-invariants for parameter-dependent operators associated with an action of a discrete group

DOI10.1134/S0001434622110062OpenAlexW4313365256MaRDI QIDQ2680718

Yanyan Li

Publication date: 4 January 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622110062

zbMATH Keywords

elliptic operatornonlocal operator\( \eta \)-invariantparameter-dependent operator

Mathematics Subject Classification ID

Eta-invariants, Chern-Simons invariants (58J28) Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Pseudodifferential operators and other generalizations of partial differential operators (35Sxx)

Cites Work

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• Nonlocal elliptic problems in infinite cylinder and applications
• Pseudo-differential operators, singularities, applications
• \(\eta\)-invariants, the adiabatic approximation and conical singularities
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Eta invariants and manifolds with boundary
• On the index formula for singular surfaces
• Elliptic \(G\)-operators on manifolds with isolated singularities
• The eta invariant and families of pseudodifferential operators
• The index of elliptic operators on manifolds with conical points
• Elliptic theory and noncommutative geometry. Nonlocal elliptic operators
• SPECTRAL INVARIANCE OF DENSE SUBALGEBRAS OF OPERATOR ALGEBRAS
• η-Invariants and Their Adiabatic Limits
• Adiabatic Limits, Nonmultiplicativity of Signature, and Leray Spectral Sequence
• Spectral asymmetry and Riemannian Geometry. I
• Traces on algebras of parameter dependent pseudodifferential operators and the eta–invariant
• Local index theory for operators associated with Lie groupoid actions
• Orbifold $eta$-invariants
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• Elliptic functional differential equations and applications

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