Analytic K-Homology
Overview
This work draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these three subjects - and it has been used with success to discover theorems across a wide span of mathematics. The purpose of this book is to acquaint the reader with the essential ideas of analytic K-homology and develop 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, the book should lead the reader to some central notions of contemporary research in geometric functional analysis.
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Details
- ISBN-13: 9780198511762
- ISBN-10: 0198511760
- Publisher: OUP Oxford
- Publish Date: February 2001
- Dimensions: 9.44 x 6.44 x 1.08 inches
- Shipping Weight: 1.6 pounds
- Page Count: 424
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