Methods of Noncommutative Geometry for Group C*-Algebras: 416 (Chapman & Hall/CRC Research Notes in Mathematics Series) - Softcover

Diep, Do Ngoc

Softcover

ISBN 10: 1584880198 ISBN 13: 9781584880196

Publisher: Chapman and Hall/CRC, 1999

Synopsis

The description of the structure of group C*-algebras is a difficult problem, but relevant to important new developments in mathematics, such as non-commutative geometry and quantum groups. Although a significant number of new methods and results have been obtained, until now they have not been available in book form. This volume provides an introduction to and presents research on the study of group C*-algebras, suitable for all levels of readers - from graduate students to professional researchers. The introduction provides the essential features of the methods used. In Part I, the author offers an elementary overview - using concrete examples-of using K-homology, BFD functors, and KK-functors to describe group C*-algebras. In Part II, he uses advanced ideas and methods from representation theory, differential geometry, and KK-theory, to explain two primary tools used to study group C*-algebras: multidimensional quantization and construction of the index of group C*-algebras through orbit methods. The structure of group C*-algebras is an important issue both from a theoretical viewpoint and in its applications in physics and mathematics. Armed with the background, tools, and research provided in Methods of Noncommutative Geometry for Group C*-Algebras, readers can continue this work and make significant contributions to perfecting the theory and solving this problem.

About this title

About the Author

Do Ngoc Diep

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 1999
• Language: English
• ISBN 10: 1584880198
• ISBN 13: 9781584880196
• Binding: Paperback
• Edition number: 1
• Number of pages: 368