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Traces of Holomorphic Families of Operators on the Noncommutative Torus and on Hilbert Modules

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Publication:3460588
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DOI10.1007/978-3-319-18212-4_1zbMath1339.58013arXiv1501.06338OpenAlexW1677823048MaRDI QIDQ3460588

Carolina Neira Jiménez, Sylvie Paycha, Sara Azzali, Cyril Levy

Publication date: 8 January 2016

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06338


zbMATH Keywords

pseudodifferential operatorsnoncommutative torusindex theoryWodzicki residuezeta-regularised traces


Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Noncommutative geometry (à la Connes) (58B34) Noncommutative global analysis, noncommutative residues (58J42) Index theory (19K56) Heat kernel (35K08)


Related Items (3)

A two dimensional Adler-Manin trace and bi-singular operators ⋮ Spectral 𝜁-invariants lifted to coverings ⋮ Heat asymptotics for nonminimal Laplace type operators and application to noncommutative tori




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