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Analytic K-Homology
Nigel Higson; John Roe (Author)
·
Oxford University Press
· Hardcover
Analytic K-Homology - Nigel Higson; John Roe
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Synopsis "Analytic K-Homology"
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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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Hardcover.
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