Elliptic theory and noncommutative geometry : nonlocal elliptic operators /

The book deals with nonlocal elliptic differential operators. These are operators whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such operat...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nazaĭkinskiĭ, V. E.
Otros Autores: Savin, Anton Yu, Sternin, B. I͡U
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel ; Boston : Birkhäuser, ©2008.
Colección:Operator theory, advances and applications ; v. 183.
Operator theory, advances and applications. Advances in partial differential equations.
Temas:
Elliptic operators.
Noncommutative differential geometry.
Opérateurs elliptiques.
Géométrie différentielle non commutative.
MATHEMATICS > Functional Analysis.
Elliptic operators
Noncommutative differential geometry
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction; Nonlocal Functions and Bundles; Nonlocal Elliptic Operators; Elliptic Operators over C *-Algebras; Homotopy Classification; Analytic Invariants; Bott Periodicity; Direct Image and Index Formulas in K -Theory; Chern Character; Cohomological Index Formula; Cohomological Formula for the .-Index; Index of Nonlocal Operators over C *-Algebras; Index Formula on the Noncommutative Torus; An Application of Higher Traces; Index Formula for a Finite Group.

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