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s11537-013-1280-5.pdf | 336.59 kB | Adobe PDF | 見る/開く |
タイトル: | About the Connes embedding conjecture |
著者: | Ozawa, Narutaka |
著者名の別形: | 小澤, 登高 |
キーワード: | Connes embedding conjecture Kirchberg’s conjecture Tsirelson’s problem semi-pre-C*-algebras noncommutative real algebraic geometry |
発行日: | Mar-2013 |
出版者: | Springer Japan |
誌名: | Japanese Journal of Mathematics |
巻: | 8 |
号: | 1 |
開始ページ: | 147 |
終了ページ: | 183 |
抄録: | In his celebrated paper in 1976, A. Connes casually remarked that any finite von Neumann algebra ought to be embedded into an ultraproduct of matrix algebras, which is now known as the Connes embedding conjecture or problem. This conjecture became one of the central open problems in the field of operator algebras since E. Kirchberg’s seminal work in 1993 that proves it is equivalent to a variety of other seemingly totally unrelated but important conjectures in the field. Since then, many more equivalents of the conjecture have been found, also in some other branches of mathematics such as noncommutative real algebraic geometry and quantum information theory. In this note, we present a survey of this conjecture with a focus on the algebraic aspects of it. |
著作権等: | The final publication is available at www.springerlink.com This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
URI: | http://hdl.handle.net/2433/173118 |
DOI(出版社版): | 10.1007/s11537-013-1280-5 |
出現コレクション: | 学術雑誌掲載論文等 |
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