Analytic K-Homology

ISBN-13: 9780198511762 / Angielski / Twarda / 2001 / 424 str.

Nigel Higson; John Roe; John Roe

Opis

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.

Recenzje

... this is a very nice book that will interest specialists from several branches of mathematics and be attractive for postgraduate students.