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Analytic K-Homology

by Nigel Higson , John Roe , John Roe
Save 17% Save 17%
Current price ₹24,254.00
Original price ₹29,105.00
Original price ₹29,105.00
Original price ₹29,105.00
(-17%)
₹24,254.00
Current price ₹24,254.00

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Book cover type: Hardcover
  • ISBN13: 9780198511762
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: OUP Oxford
  • Publisher Imprint: OUP Oxford
  • Publication Date:
  • Pages: 424
  • Original Price: GBP 170.0
  • Language: English
  • Edition: N/A
  • Item Weight: 726 grams
  • BISAC Subject(s): Functional Analysis

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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