Essential spectrum and Fredholm properties for operators on locally compact groups

DOI10.7900/JOT.2016MAY02.2110zbMath1449.46058arXiv1510.05308OpenAlexW2963321315MaRDI QIDQ4978099

Marius Măntoiu

Publication date: 17 August 2017

Published in: Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05308

zbMATH Keywords

\(C^*\)-algebradynamical systemFredholm operatoressential spectrumlocally compact grouppreudo-differential operator

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (Semi-) Fredholm operators; index theories (47A53) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Pseudodifferential operators (47G30) Local spectral properties of linear operators (47A11)

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A comparison of the Georgescu and Vasy spaces associated to the \(N\)-body problems and applications ⋮ A general Simonenko local principle and Fredholm condition for isotypical components ⋮ Closure of the Laplace-Beltrami operator on 2D almost-Riemannian manifolds and semi-Fredholm properties of differential operators on Lie manifolds ⋮ Exhaustive families of representations of \(C^{\ast}\)-algebras associated with \(N\)-body Hamiltonians with asymptotically homogeneous interactions ⋮ Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups ⋮ Fredholm Conditions on Non-compact Manifolds: Theory and Examples ⋮ Pseudo-differential operators, Wigner transform and Weyl transform on the similitude group, \(\mathbb{SIM}(2)\) ⋮ Global and concrete quantizations on general type I groups

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