Elliptic theory and noncommutative geometry : nonlocal elliptic operators

Elliptic theory and noncommutative geometry : nonlocal elliptic operators / Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin.

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...

Full description

Saved in:
Bibliographic Details
Main Author: Nazaĭkinskiĭ, V. E.
Other Authors: Savin, Anton Yu, Sternin, B. I︠U︡
Format: eBook
Language:English
Published: Basel ; Boston : Birkhäuser, ©2008.
Series:Operator theory, advances and applications ; v. 183.
Operator theory, advances and applications. Advances in partial differential equations.
Subjects:
Elliptic operators.
Noncommutative differential geometry.
MATHEMATICS > Functional Analysis.
Geometría diferencial
Elliptic operators
Noncommutative differential geometry
Online Access:Click for online access
Table of Contents:
  • 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.

Similar Items