Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators
by V E Nazaikinskii (9783764387747)

Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators
 
V E Nazaikinskii
Release Date: 01 August 2008
Format: Hardback
Pages: 224
Categories: Mathematical Analysis
Functional Analysis
Publisher: Birkhauser Basel
ISBN: 9783764387747
ISBN-10: 3764387742



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.).

AUD $256.95

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