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Elliptic Theory and Noncommutative Geometry - Nonlocal Elliptic Operators (Hardcover, 2008 ed.): Vladimir E. Nazaykinskiy,... Elliptic Theory and Noncommutative Geometry - Nonlocal Elliptic Operators (Hardcover, 2008 ed.)
Vladimir E. Nazaykinskiy, A.Yu. Savin, B. Yu Sternin
R2,888 Discovery Miles 28 880 Ships in 10 - 15 working days

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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