Elliptic Theory and Noncommutative Geometry

出版者:Birkhäuser Basel

作者:Vladimir E. Nazaykinskiy

页数:224

出版时间:2008-6-23

价格:USD 119.00

装帧:Hardcover

isbn号码:9783764387747

图书标签:计算机科学数学TheorySpringerGeometryElliptic2008

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.).