{"product_id":"analytic-k-homology-9780198511762","title":"Analytic K-Homology","description":"\u003cp\u003e • Author(s): Nigel Higson | John Roe | John Roe\u003cbr\u003e • Publisher: OUP Oxford\u003cbr\u003e • Publisher Imprint: OUP Oxford\u003cbr\u003e • BISAC: Functional Analysis\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"OUP Oxford","offers":[{"title":"Hardcover","offer_id":47591035469975,"sku":"9780198511762","price":24254.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780198511762.webp?v=1774971366","url":"https:\/\/atlanticbooks.com\/products\/analytic-k-homology-9780198511762","provider":"Atlantic Books","version":"1.0","type":"link"}