Methods of Noncommutative Geometry for Group C*-Algebras (Chapman & Hall/CRC Research Notes in Mathematics Series) pdf epub fb2

Methods of Noncommutative Geometry for Group C*-Algebras (Chapman & Hall/CRC Research Notes in Mathematics Series) by - epub fb2 djvu

Author: -
Title: Methods of Noncommutative Geometry for Group C*-Algebras (Chapman & Hall/CRC Research Notes in Mathematics Series)
ISBN: 1584880198
ISBN13: 978-1584880196
Other Formats: mbr lrf docx doc
Pages: 368 pages
Publisher: Chapman and Hall/CRC; 1 edition (December 8, 1999)
Language: English
Size EPUB version: 1287 kb
Size FB2 version: 1865 kb
Category: Science & Math
Subcategory: Mathematics

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.

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