ENGLISH

Analytic K-Homology

By Nigel Higson , John Roe

Book information

Publisher
Oxford University Press
Year
2000
ISBN
0198511760, 9780198511762
LCC
QA612.33 .H54 2000
Open Library ID
OL3968112M
Language
english
Format
DJVU
Filesize
3 MB (2722097 bytes)
Series
Oxford mathematical monographs, Oxford science publications
Pages
422\422
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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.

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