A \(C^*\)-algebraic approach to the principal symbol. II

DOI10.1007/s00208-019-01822-7zbMath1427.46048arXiv1806.07015OpenAlexW2963806777MaRDI QIDQ2423414

Edward McDonald, Dmitriy Zanin, Pheodor A. Sukochev

Publication date: 21 June 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.07015

Mathematics Subject Classification ID

Noncommutative topology (46L85) Pseudodifferential and Fourier integral operators on manifolds (58J40) Noncommutative geometry (à la Connes) (58B34) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (11)

Cwikel estimates and negative eigenvalues of Schrödinger operators on noncommutative tori ⋮ Quantum Euclidean spaces with noncommutative derivatives ⋮ A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry ⋮ Connes' integration and Weyl's laws ⋮ Asymptotics of singular values for quantised derivatives on noncommutative tori ⋮ Advances in Dixmier traces and applications ⋮ Connes’s trace theorem for curved noncommutative tori: Application to scalar curvature ⋮ Quantum differentiability on noncommutative Euclidean spaces ⋮ Quantum differentiability on quantum tori ⋮ Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori ⋮ Asymptotics of singular values for quantum derivatives

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