Decomposable approximations of nuclear -algebras

详细信息	查看全文 | 推荐本文 |

• 作者：Ilan Hirshberg^a ; ^{ilan@math.bgu.ac.il} ; Eberhard Kirchberg^b ; ^{kirchbrg@mathematik.hu-berlin.de} ; Stuart White^c ; ^{stuart.white@glasgow.ac.uk}
• 关键词：Nuclear C&lowast ; -algebras ; Nuclear dimension ; Decomposition rank
• 刊名：Advances in Mathematics
• 出版年：2012
• 期刊代码：62_00018708
• 类别：mt
• 出版时间：20 June, 2012
• 卷：230
• 期：3
• 页码：1029-1039
• 文件大小：218 K

摘要

We show that nuclear -algebras have a refined version of the completely positive approximation property, in which the maps that approximately factorize through finite dimensional algebras are convex combinations of order zero maps. We use this to show that a separable nuclear -algebra which is closely contained in a -algebra embeds into .