Elliptic theory and noncommutative geometry
Subtitle: nonlocal elliptic operators
By: Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin.
Contributors: Savin, Anton Yu.; Sternin, B. I︠U︡.
Series: Operator theory, advances and applications -- v. 183. -- Advances in partial differential equations; Operator theory, advances and applications -- v. 183.; Operator theory, advances and applications
Publisher: Birkhäuser
Published: 2008
Place of publication: Basel; Boston
Language: eng
Number of pages: 224
ISBN-13: 9783764387747
Subjects: Elliptic operators; Noncommutative differential geometry
Description: "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.
Notes: Includes bibliographical references (p. [217]-221) and index.