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Geometry of State Spaces of Operator Algebras

Erik Magnus AlfsenFrederic W. Shultz

出版	Birkhäuser, 2003
主題	Mathematics / Algebra / AbstractMathematics / Set TheoryMathematics / Functional AnalysisMathematics / TopologyScience / Physics / Quantum Theory
ISBN	37643431929783764343194
URL	http://books.google.com.hk/books?id=buXuAAAAMAAJ&hl=&source=gbs_api

註釋

This book provides a complete and self-contained solution to the long-standing problem of giving a geometric description of state spaces of C*-algebras and von Neumann algebras, and of their Jordan algebraic analogs (JB-algebras and JBW-algebras). This material, which has previously only appeared in research papers based on substantial prerequisites, is made accessible to a broad mathematical audience. The necessary prerequisites on C*-algebras and von Neumann algebras are summarized in an appendix, which contains all relevant definitions and results. All necessary background on Jordan algebras is given in the present book, and the first part of the book may be of independent interest for those wanting a quick introduction to Jordan algebras. This work will be of interest to researchers and students in operator algebras.