{"product_id":"an-introduction-to-the-classification-huaxin-lin-9789810246808","title":"An Introduction to the Classification of Amenable C*-Algebras","description":"The theory and applications of C∗-algebras are related to fields ranging from operator theory, group representations and quantum mechanics, to non-commutative geometry and dynamical systems. By Gelfand transformation, the theory of C∗-algebras is also regarded as non-commutative topology. About a decade ago, George A. Elliott initiated the program of classification of C∗-algebras (up to isomorphism) by their K-theoretical data. It started with the classification of AT-algebras with real rank zero. Since then great efforts have been made to classify amenable C∗-algebras, a class of C∗-algebras that arises most naturally. For example, a large class of simple amenable C∗-algebras is discovered to be classifiable. The application of these results to dynamical systems has been established.This book introduces the recent development of the theory of the classification of amenable C∗-algebras -- the first such attempt. The first three chapters present the basics of the theory of C∗-algebras which are particularly important to the theory of the classification of amenable C∗-algebras. Chapter 4 otters the classification of the so-called AT-algebras of real rank zero. The first four chapters are self-contained, and can serve as a text for a graduate course on C∗-algebras. The last two chapters contain more advanced material. In particular, they deal with the classification theorem for simple AH-algebras with real rank zero, the work of Elliott and Gong. The book contains many new proofs and some original results related to the classification of amenable C∗-algebras. Besides being as an introduction to the theory of the classification of amenable C∗-algebras, it is a comprehensive reference for those more familiar with the subject.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Huaxin Lin\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9810246803\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789810246808\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e World Scientific Publishing Company\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/12\/2001\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 332\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.23lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.60h x 6.10w x 0.90d","brand":"Huaxin Lin","offers":[{"title":"Hardcover","offer_id":48448102990079,"sku":"9789810246808","price":125.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_43880e7e-7a0b-47f2-8a69-18ec60510c1e.jpg?v=1777236913","url":"https:\/\/www.whiterainbookhouse.com\/products\/an-introduction-to-the-classification-huaxin-lin-9789810246808","provider":"WR Book House","version":"1.0","type":"link"}