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"The book deals with nonlocal elliptic differential 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[superscript*]-algebras and their K-theory, cyclic homology, etc.)."--Jacket.
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Elliptic theory and noncommutative geometry: nonlocal elliptic operators
2008, Birkhäuser
in English
3764387742 9783764387747
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Includes bibliographical references (p. [217]-221) and index.
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