Methods of noncommutative geometry for group C*-algebras

the long version

"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.