C* Algebras Generated by Dynamical Systems and Nonlocal ψDO

DOI10.1007/978-3-030-37326-9_3zbMath1501.35471OpenAlexW4206037490MaRDI QIDQ5051794

A. V. Lebedev, Anatolij Antonevich

Publication date: 18 November 2022

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

Full work available at URL: https://doi.org/10.1007/978-3-030-37326-9_3

zbMATH Keywords

\(C^*\)-algebradynamical systemindexLefschetz numberellipticitynonlocal pseudodifferential operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Ergodic theory of linear operators (47A35) Noncommutative dynamical systems (46L55) Pseudodifferential and Fourier integral operators on manifolds (58J40) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Cites Work

• Index of elliptic operators for diffeomorphisms of manifolds
• Elliptic theory and noncommutative geometry. Nonlocal elliptic operators
• EQUIVARIANT ALGEBRAIC INDEX THEOREM
• Integro-Differential Operators on Vector Bundles
• Functional differential equations
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