Synopsis
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.
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About the Author
Nigel Higson is at Pennsylvania State University. John Roe is at Pennsylvania State University.
"About this title" may belong to another edition of this title.
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Analytic K-Homology
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Oxford University Press, 2004
ISBN 10: 0198511760
ISBN 13: 9780198511762
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Analytic K-Homology (Hardcover)
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ISBN 10: 0198511760
ISBN 13: 9780198511762
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Hardcover. Condition: new. Hardcover. Analytic K-homology 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 specacular success to discover remarkable 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 tothe 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 treatmentof the Atiyah-Singer Index Theorem. Beginning with the rudiments of C* - algebra theory, the book will lead the reader to some central notions of contemporary research in geometric functional analysis. Much of the material included here has never previously appeared in book form. A wide-ranging introduction to a field of mathematics combining functional analysis with the perspectives of global geometry. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198511762
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Analytic K-Homology
Published by
Oxford University Press, 2001
ISBN 10: 0198511760
ISBN 13: 9780198511762
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Analytic K-Homology
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Oxford University Press, 2001
ISBN 10: 0198511760
ISBN 13: 9780198511762
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Hardback. Condition: New. Illustrated. Analytic K-homology 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 specacular success to discover remarkable 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 will lead the reader to some central notions of contemporary research in geometric functional analysis. Much of the material included here has never previously appeared in book form. Seller Inventory # LU-9780198511762
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