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Product Details 基本信息 ISBN-13 书号 9780821839164 Author 作者 Nathanial P. Brown Format 版本 平装-胶订 Pages Number 页数 105页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2006-10-05 Language 语种 英语 Book Contents 内容简介 Various subsets of the tracial state space of a unital \(C^*\)-algebra are studied. The largest of these subsets has a natural interpretation as the space of invariant means. II\(_1\)-factor representations of a class of \(C^*\)-algebras considered by Sorin Popa are also studied. These algebras are shown to have an unexpected variety of II\(_1\)-factor representations. In addition to developing some general theory we also show that these ideas are related to numerous other problems in operator algebras.
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Product Details 基本信息 ISBN-13 书号 9780821843819 Author 作者 Nathanial P. Brown Format 版本 精装 Pages Number 页数 509页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2008-03-30 Product Dimensions 商品尺寸 26 cm. Language 语种 其它（含多语） Book Contents 内容简介 \(\mathrm{C}^*\)-approximation theory has provided the foundation for many of the most important conceptual breakthroughs and applications of operator algebras. This book systematically studies (most of) the numerous types of approximation properties that have been important in recent years: nuclearity, exactness, quasidiagonality, local reflexivity, and others. Moreover, it contains user-friendly proofs, insofar as that is possible, of many fundamental results that were previously quite hard to extract from the literature. Indeed, perhaps the most important novelty of the first ten ch
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