| 书目名称 | Classification of Nuclear C*-Algebras. Entropy in Operator Algebras |
| 编辑 | Mikael Rørdam,Erling Størmer |
| 视频video | http://file.papertrans.cn/228/227217/227217.mp4 |
| 概述 | Two new surveys with new results by two top-researchers.Includes supplementary material: |
| 丛书名称 | Encyclopaedia of Mathematical Sciences |
| 图书封面 |  |
| 描述 | to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930‘s and 1940‘s. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators of a Hilbert space which is closed in the weak operator topology. According to von Neumann‘s bicommutant theorem, M is closed in the weak operator topology if and only if it is equal to the commutant of its commutant. Afactor is a von Neumann algebra with trivial centre and the work of Murray and von Neumann contained a reduction of all von Neumann algebras to factors and a classification of factors into types I, II and III. C* -algebras are self-adjoint operator algebras on Hilbert space which are closed in the norm topology. Their study was begun in the work of Gelfand and Naimark who showed that such algebras can be characterized abstractly as involutive Banach algebras, satisfying an algebraic relation connecting the norm and the involution. They also obtained the fundamental result that a commutative unital C* -algebra is isomorphic to the algebra of complex valued continuous functi |
| 出版日期 | Book 2002 |
| 关键词 | C*-algebras; K-theory; Volume; algebra; classifications; entropy; entropy in C*-dynamical systems; purely i |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-04825-2 |
| isbn_softcover | 978-3-642-07605-3 |
| isbn_ebook | 978-3-662-04825-2Series ISSN 0938-0396 |
| issn_series | 0938-0396 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |
|Archiver|手机版|小黑屋|
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