{"product_id":"an-introduction-to-k-theory-for-c-algebras-hardback-9780521783347","title":"An Introduction to K-Theory for C*-Algebras (Hardback) 9780521783347","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Introduction to K-Theory for C*-Algebras\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eM. Rørdam (Author), F. Larsen (Author), N. Laustsen (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521783347, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 20 July 2000\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e256 pages, 124 exercises\u003cbr\u003e22.9 x 15.2 x 1.9 cm, 0.55 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The textbook is a nice introduction to the subject preparing the ground for the study of more advanced texts.' H. Schröder, Zentralblatt für Mathematik\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eOver the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. C*-algebra theory\u003cbr\u003e 2. Projections and unitary elements\u003cbr\u003e 3. The K0-group of a unital C*-algebra\u003cbr\u003e 4. The functor K0\u003cbr\u003e 5. The ordered Abelian group K0(A)\u003cbr\u003e 6. Inductive limit C*-algebras\u003cbr\u003e 7. Classification of AF-algebras\u003cbr\u003e 8. The functor K1\u003cbr\u003e 9. The index map\u003cbr\u003e 10. The higher K-functors\u003cbr\u003e 11. Bott periodicity\u003cbr\u003e 12. The six-term exact sequence\u003cbr\u003e 13. Inductive limits of dimension drop algebras\u003cbr\u003e References\u003cbr\u003e Table of K-groups\u003cbr\u003e Index of symbols\u003cbr\u003e General index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Probability \u0026amp; statistics [\u003ca title=\"See our other books on Probability \u0026amp; statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Probability%20\u0026amp;%20statistics%20%5BPBT%5D%22\"\u003ePBT\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265078907160,"sku":"9780521783347","price":108.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521789448.jpg?v=1692019270","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/an-introduction-to-k-theory-for-c-algebras-hardback-9780521783347","provider":"Freshly Printed Books","version":"1.0","type":"link"}