Elliptic Theory and Noncommutative Geometry Vladimir E Nazaikinskii

ISBN: 9783764387754

Published: January 1st 2008

ebook

224 pages


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Elliptic Theory and Noncommutative Geometry  by  Vladimir E Nazaikinskii

Elliptic Theory and Noncommutative Geometry by Vladimir E Nazaikinskii
January 1st 2008 | ebook | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 224 pages | ISBN: 9783764387754 | 6.33 Mb

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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