Methods of noncommutative geometry for group C*-algebras
By: Do Ngoc Diep.
Series: Chapman & Hall/CRC research notes in mathematics series ;; 416
Publisher: Chapman & Hall/CRC
Published: 2000
Place of publication: Boca Raton
Language: eng
Number of pages: 351
Subjects: C*-algebras.; Geometry, Algebraic.
Description: "This volume provides an introduction to and presents research on the study of group C[superscript *]-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[superscript *]-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[superscript *]-algebras: multidimensional quantization and construction of the index of group C[superscript *]-algebras through the orbit method."--BOOK JACKET. "This book will be of interest to mathematicians, mathematical physicists, students, and researchers in noncommutative geometry and harmonic analysis."--BOOK JACKET.
Notes: Includes bibliographic references (p. 341-351).