{"product_id":"9783319477015","title":"SpringerBriefs in Mathematical Physics","description":"\u003ch1\u003eSpringerBriefs in Mathematical Physics\u003c\/h1\u003e \u003ch2\u003eStevens, Marco\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003e\u003cdiv\u003e\n\u003cdiv\u003eThis book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces. The Kadison-Singer property deals with the following question: given a Hilbert space\u003ci\u003e H\u003c\/i\u003e and an abelian unital \u003ci\u003eC*\u003c\/i\u003e-subalgebra \u003ci\u003eA \u003c\/i\u003eof \u003ci\u003eB\u003c\/i\u003e(\u003ci\u003eH\u003c\/i\u003e), does every pure state on \u003ci\u003eA\u003c\/i\u003e extend uniquely to a pure state on \u003ci\u003eB\u003c\/i\u003e(\u003ci\u003eH\u003c\/i\u003e)? This question has deep connections to fundamental aspects of quantum physics, as is explained in the foreword by Klaas Landsman. \u003c\/div\u003e\n\u003cdiv\u003eThe book starts with an accessible introduction to the concept of states and continues with a detailed proof of the classification of maximal Abelian von Neumann algebras, a very explicit construction of the Stone-Cech compactification and an account of the recent proof of the Kadison-Singer problem. At the end accessible appendices provide the necessary background material.\u003cbr\u003e\u003cbr\u003e\n\u003c\/div\u003e\n\u003cdiv\u003eThis elementary account of the Kadison-Singer conjecture is very well-suited for graduate students interested in operator algebras and states, researchers who are non-specialists of the field, and\/or interested in fundamental quantum physics.\u003c\/div\u003e\n\u003c\/div\u003e\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2016-11-17\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319477015\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-47702-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 140\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":46547628294284,"sku":"9783319477015","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319477015.jpg?v=1775835684","url":"https:\/\/lateknightbooks.com\/products\/9783319477015","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}