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Analytic K-Homology (Oxford Mathematical Monographs) - Hardcover

 
9780198511762: Analytic K-Homology (Oxford Mathematical Monographs)
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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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About the Author:
Nigel Higson is at Pennsylvania State University. John Roe is at Pennsylvania State University.
Review:

"The book gives a well-written introduction to the essential ideas of analytic K-homology and develops some of its applications."--Mathematical Reviews


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  • PublisherOxford University Press
  • Publication date2001
  • ISBN 10 0198511760
  • ISBN 13 9780198511762
  • BindingHardcover
  • Edition number1
  • Number of pages424

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