Elliptic theory and noncommutative geometry

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Elliptic theory and noncommutative...

Elliptic theory and noncommutative geometry

Name: Elliptic theory and noncommutative geometry
ISBN: 9783764387754

Vladimir E. Nazaykinskiy, A. Yu. Savin, B. Yu. Sternin

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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.).

Kategorien:

Science (General)

Jahr:

2008

Auflage:

Verlag:

Birkhäuser Basel

Sprache:

english

Seiten:

223

ISBN 10: