Analytic K-Homology

Analytic K-Homology book cover

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.

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