Fredholm criteria for pseudodifferential operators and induced representations of groupoid algebras

DOI10.3934/era.2017.24.008zbMath1405.58009OpenAlexW2278579990MaRDI QIDQ1757290

Yu Qiao, Victor Nistor, Catarina C. Carvalho

Publication date: 3 January 2019

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2017.24.008

zbMATH Keywords

\(C^*\)-algebraLie groupoidFredholm operatoressential spectrumpseudodifferential operators

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Fredholm integral equations (45B05) Applications of functional analysis to differential and integral equations (46N20) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (5)

Double layer potentials on polygons and pseudodifferential operators on Lie groupoids ⋮ Limit operators techniques on general metric measure spaces of bounded geometry ⋮ Double layer potentials on three-dimensional wedges and pseudodifferential operators on Lie groupoids ⋮ Limit operator theory for groupoids ⋮ Eigenfunctions growth of \(\mathcal{R}\)-limits on graphs

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