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Science/Engineering Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators

Posted on 2010-03-15




Name:Science/Engineering Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators
ASIN/ISBN:3764387742
Language:English
File size:1.73 Mb
ISBN: 3764387742
Publish Date: June 23, 2008
Pages: 224 pages
File Size: 1.73 MB
Other Info: Birkhäuser Basel; djvu (ocr)
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Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators (Operator Theory: Advances and Applications / Advances in Partial Differential Equations): 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 operators to topological invariants of the manifold itself. This problem can be solved by modern methods of noncommutative geometry. To make the book self-contained, the authors have included necessary geometric material (C*-algebras and their K-theory, cyclic homology, etc.).

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