nurbook
Analytic K-Homology
Author(s): Nigel Higson (Author), John Roe (Author)
- Publisher: Oxford University Press
- Publication Date: February 16, 2001
- Edition: 1st
- Language: English
- Print length: 424 pages
- ISBN-10: 0198511760
- ISBN-13: 9780198511762
Book Description
This text acquaints the reader with the essential ideas of analytic K-homology and develops some of its applications. It includes a detailed introduction to the necessary functional analysis, followed by an exploration of the connections between K-homology and operator theory, coarse geometry, index theory, and assembly maps, including a detailed treatment of the Atiyah-Singer Index Theorem. Beginning with the rudiments of C*-algebra theory, it leads the reader into some of the central notions of contemporary research in geometric functional analysis.
Editorial Reviews
Review
“The book gives a well-written introduction to the essential ideas of analytic K-homology and develops some of its applications.”–Mathematical Reviews
About the Author
Nigel Higson is at Pennsylvania State University. John Roe is at Pennsylvania State University.